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Paper Citation Record · LEDGER

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs

As of 8 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 1 inbound Pith citation observation for arXiv:2607.09625.

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pith.paper-citation-record.v1
2607.09625 v1

Coverage vector

measured 63 of 63 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-13T01:39:43.400940Z

measured 64 of 64 standing notices

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T03:49:51.151866Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-01T06:16:24.888925Z

Reference resolution

63 of 63 outbound references displayed

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Outbound references

Observation 813ca598-cc9f-4d6f-bac7-2a3619d72cab · outbound

This paper cites m-accretive Laplacian on a non symmetric graph.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs m-accretive Laplacian on a non symmetric graph

Reference 1

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Observation 44ce5582-07cc-403e-a103-cc2a4b1c9af3 · outbound

This paper cites Barbu.Nonlinear Differential Equations of Monotone Types in Banach Spaces.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Barbu.Nonlinear Differential Equations of Monotone Types in Banach Spaces

Reference 2

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Observation 9c1ec3c3-bb0b-4413-a28b-8cc16f1721bc · outbound

This paper cites Nonlinear evolution equations in Banach spaces.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Nonlinear evolution equations in Banach spaces

Reference 3

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Observation 1a2ef02e-7c64-49ee-84c2-7d50d755ee2e · outbound

This paper cites Semilinear diffusion equations on infinite graphs: the dissipative and Lipschitz cases.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Semilinear diffusion equations on infinite graphs: the dissipative and Lipschitz cases

Reference 4

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Observation db89d95b-b948-429a-a25a-94d318d0f3b5 · outbound

This paper cites The fractional Porous Medium Equation on graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs The fractional Porous Medium Equation on graphs

Reference 5

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Observation baa3e6ee-2004-4f6a-aefe-86088cb4ebcb · outbound

This paper cites Interpolation results for convergence of implicit Euler schemes with accretive op- erators.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Interpolation results for convergence of implicit Euler schemes with accretive op- erators

Reference 6

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Observation 5b75975d-b862-4710-811e-211a6fb76b6a · outbound

This paper cites The generalized porous medium equation on graphs: exis- tence and uniqueness of solutions withℓ 1 data.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs The generalized porous medium equation on graphs: exis- tence and uniqueness of solutions withℓ 1 data

Reference 7

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Observation 63e735cf-1658-4a06-85fd-cb909b09d780 · outbound

This paper cites Blechschmidt.Existenz und Eindeutigkeit von L ¨osungen zum Cauchy-Problem der verallgemeinerten Por¨ose-Medien-Gleichung aufℓ 1.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Blechschmidt.Existenz und Eindeutigkeit von L ¨osungen zum Cauchy-Problem der verallgemeinerten Por¨ose-Medien-Gleichung aufℓ 1

Reference 8

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Observation 791da116-2b57-4af1-b88b-25412ba63bba · outbound

This paper cites Essential spectrum and Weyl asymptotics for discrete Laplacians.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Essential spectrum and Weyl asymptotics for discrete Laplacians

Reference 9

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Observation f4f5db64-2fc2-4a41-bb3c-e3dea973ed74 · outbound

This paper cites Semi-linear second-order elliptic equations inL 1.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Semi-linear second-order elliptic equations inL 1

Reference 10

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Observation 87c91e9d-7463-40cd-a135-3adda3b2bcdc · outbound

This paper cites Real interpolation of functions with applications to accretive operators on Banach spaces.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Real interpolation of functions with applications to accretive operators on Banach spaces

Reference 11

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Observation e1a085d8-3a0e-4a76-8f18-d219a0e1ce45 · outbound

This paper cites Essential self-adjointness for combinatorial Schr ¨odinger operators II—metrically non complete graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Essential self-adjointness for combinatorial Schr ¨odinger operators II—metrically non complete graphs

Reference 12

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Observation 7a16bf2c-2c33-4d76-9530-5a91d0ee4d8d · outbound

This paper cites Generation of semi-groups of nonlinear transformations on general Banach spaces.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Generation of semi-groups of nonlinear transformations on general Banach spaces

Reference 13

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Observation f3fdf412-ea81-4716-9e43-16956c1c465d · outbound

This paper cites Deimling.Nonlinear Functional Analysis.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Deimling.Nonlinear Functional Analysis

Reference 14

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Observation 8d30c11e-8efe-4f6a-94c0-ee4d3e14e24e · outbound

This paper cites Engel and R.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Engel and R

Reference 15

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Observation c5b40a8c-3817-4c44-8eb1-d868c77eada4 · outbound

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On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Unresolved cited work

Reference 16

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Observation f11cec93-687b-42c2-80ec-be972cb841a5 · outbound

This paper cites Graphs of finite measure.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Graphs of finite measure

Reference 17

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Observation 85f01098-7b65-4fe4-9cbc-b7fc4aa08223 · outbound

This paper cites Goebel and W.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Goebel and W

Reference 18

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Observation 4912d85e-996b-4f7b-9352-88eff99e83e6 · outbound

This paper cites Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians

Reference 19

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Observation 0c8a28cd-5e4a-47d2-9e88-bd92dfb5f7ed · outbound

This paper cites Kazdan-Warner equation on graph.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Kazdan-Warner equation on graph

Reference 20

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Observation 28452495-aa6d-4ae0-8906-db01a840bf95 · outbound

This paper cites Yamabe type equations on graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Yamabe type equations on graphs

Reference 21

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Observation 209ba16c-ef0f-4d91-89ec-9d7deaa43b40 · outbound

This paper cites Blow-up and global existence for semilinear parabolic equations on infinite graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Blow-up and global existence for semilinear parabolic equations on infinite graphs

Reference 22

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Observation d67157b0-b7d2-4543-a4a1-328738e65bbe · outbound

This paper cites Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions

Reference 23

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Observation 76e32c68-88dd-4ca0-b375-5096bc5e5858 · outbound

This paper cites The Kolmogorov–Riesz compactness theorem.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs The Kolmogorov–Riesz compactness theorem

Reference 24

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Observation 9feecef5-4a42-4daa-8af1-76c80fc17cde · outbound

This paper cites Form uniqueness for graphs with weakly spherically symmetric ends.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Form uniqueness for graphs with weakly spherically symmetric ends

Reference 25

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Observation 3fc93f31-322a-49d5-868f-7784b024402e · outbound

This paper cites Harmonic functions of general graph Laplacians.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Harmonic functions of general graph Laplacians

Reference 26

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Observation 5273b543-a1fc-44f5-a11c-b35c4b47f200 · outbound

This paper cites Sobolev-type inequalities and eigenvalue growth on graphs with finite measure.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Sobolev-type inequalities and eigenvalue growth on graphs with finite measure

Reference 27

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Observation 4f2d0fb8-f223-4fc1-b098-5f8f6608727d · outbound

This paper cites Essential self-adjointness and theL 2-Liouville property.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Essential self-adjointness and theL 2-Liouville property

Reference 28

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Observation da441a4f-c6e6-4d12-acd7-4e17fcfdad90 · outbound

This paper cites Time regularity and long-time behavior of parabolicp-Laplace equations on infinite graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Time regularity and long-time behavior of parabolicp-Laplace equations on infinite graphs

Reference 29

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Observation f5f2f51b-6286-46e9-acaf-61e57d089f07 · outbound

This paper cites Existence of ground state solutions to some nonlinear Schr ¨odinger equations on lattice graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Existence of ground state solutions to some nonlinear Schr ¨odinger equations on lattice graphs

Reference 30

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Observation d14d30b9-35ab-4883-8ea7-0a3243b13be7 · outbound

This paper cites A note on self-adjoint extensions of the Lapla- cian on weighted graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs A note on self-adjoint extensions of the Lapla- cian on weighted graphs

Reference 31

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Observation fe938647-6d8a-4d95-9191-f660b5b96a49 · outbound

This paper cites Essential Self-Adjointness of the Laplacian on Weighted Graphs: Harmonic Functions, Stability, Characterizations and Capacity.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Essential Self-Adjointness of the Laplacian on Weighted Graphs: Harmonic Functions, Stability, Characterizations and Capacity

Reference 32

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Observation 6dbfbd23-b708-4a84-b243-169be3848a63 · outbound

This paper cites Essential self-adjointness of the graph-Laplacian.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Essential self-adjointness of the graph-Laplacian

Reference 33

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Observation 138d8a1a-9cf0-4c29-9c53-bf68c8ffc47b · outbound

This paper cites Spectral reciprocity and matrix representations of unbounded operators.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Spectral reciprocity and matrix representations of unbounded operators

Reference 34

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Observation 648d534c-d00e-4114-a900-f4bf168df727 · outbound

This paper cites Kato.Perturbation Theory for Linear Operators.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Kato.Perturbation Theory for Linear Operators

Reference 35

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Observation 797b1572-c42b-41f4-92ab-9a55ea3b438b · outbound

This paper cites Unbounded Laplacians on graphs: basic spectral properties and the heat equation.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Unbounded Laplacians on graphs: basic spectral properties and the heat equation

Reference 36

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Observation f60115ab-4ba3-469e-bfbd-c34c348e995c · outbound

This paper cites Intrinsic metrics on graphs: a survey.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Intrinsic metrics on graphs: a survey

Reference 37

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Observation 5dc33a58-8cfd-4487-be55-addb0af7921d · outbound

This paper cites Dirichlet forms and stochastic completeness of graphs and subgraphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Dirichlet forms and stochastic completeness of graphs and subgraphs

Reference 38

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Observation e11c37f5-17db-412c-b0da-2d4c2be8daaa · outbound

This paper cites Note on uniformly transient graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Note on uniformly transient graphs

Reference 39

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Observation 921923b6-0124-42ae-8627-1cbdd9fa3799 · outbound

This paper cites Keller, D.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Keller, D

Reference 40

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Observation 2c51e149-b489-4e47-964c-5fa102acc19f · outbound

This paper cites V olume growth, spectrum and stochastic completeness of in- finite graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs V olume growth, spectrum and stochastic completeness of in- finite graphs

Reference 41

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Observation e39551d1-47e4-40b0-b488-eba357dd414d · outbound

This paper cites Gradient estimates, Bakry-Emery Ricci curvature and ellipticity for unbounded graph Laplacians.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Gradient estimates, Bakry-Emery Ricci curvature and ellipticity for unbounded graph Laplacians

Reference 42

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Observation 2196ceba-292f-43f3-8702-295e54ab5db1 · outbound

This paper cites Neumann semigroup, subgraph convergence, form uniqueness, stochastic completeness and the Feller property.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Neumann semigroup, subgraph convergence, form uniqueness, stochastic completeness and the Feller property

Reference 43

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Observation ce25516d-669b-43ac-97f2-9c247c8854e1 · outbound

This paper cites The Kazdan-Warner equation on canonically compactifiable graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs The Kazdan-Warner equation on canonically compactifiable graphs

Reference 44

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Observation d0dc3149-59b3-44b2-9aab-43d20aa2dfde · outbound

This paper cites Blow-up of nonnegative solutions of an abstract semilinear heat equation with convex source.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Blow-up of nonnegative solutions of an abstract semilinear heat equation with convex source

Reference 45

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Observation f533dc5d-1773-414c-a5ad-0470da6466c3 · outbound

This paper cites The existence and nonexistence of global solutions for a semilinear heat equation on graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs The existence and nonexistence of global solutions for a semilinear heat equation on graphs

Reference 46

Resolution
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Observation e4d019be-f170-45d0-bb9c-292aeecc3764 · outbound

This paper cites A heat flow for the mean field equation on a finite graph.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs A heat flow for the mean field equation on a finite graph

Reference 47

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doi_truncated, observed 2026-07-13T01:49:15.332403Z

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Observation cedb881f-0217-4aad-be12-2011dec1857b · outbound

This paper cites Porous media equation on locally finite graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Porous media equation on locally finite graphs

Reference 48

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Observation 7f53af49-02d8-4ff6-aadd-9a716c6ed2c0 · outbound

This paper cites A Liouville property and its application to the Laplacian of an infinite graph.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs A Liouville property and its application to the Laplacian of an infinite graph

Reference 49

Resolution
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Observation 1533509c-5b9c-4613-9332-1060dca50934 · outbound

This paper cites Maximal Accretive Extensions of Schr ¨odinger Operators on Vector Bundles over Infinite Graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Maximal Accretive Extensions of Schr ¨odinger Operators on Vector Bundles over Infinite Graphs

Reference 50

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Observation 3c38f8f6-e91f-464a-b14d-5e7963fe78ad · outbound

This paper cites Operator-norm convergence of the Trotter product formula on Hilbert and Banach spaces: a short survey.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Operator-norm convergence of the Trotter product formula on Hilbert and Banach spaces: a short survey

Reference 51

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Observation 7f05adc7-4b35-4177-8cc5-33704c2328a5 · outbound

This paper cites Nonlinear evolution governed by accretive operators in Banach spaces: error control and applications.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Nonlinear evolution governed by accretive operators in Banach spaces: error control and applications

Reference 52

Resolution
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Observation 7c060646-4357-46c1-b60e-099170945558 · outbound

This paper cites On a semilinear parabolic equation with time-dependent source term on infinite graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs On a semilinear parabolic equation with time-dependent source term on infinite graphs

Reference 53

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Observation 1e5194d1-0da1-4328-ba70-0afb9d514d6c · outbound

This paper cites A note on reflected Dirichlet forms.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs A note on reflected Dirichlet forms

Reference 54

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Observation 1087c654-6781-42fc-b966-6e3eb1e06511 · outbound

This paper cites On the existence and uniqueness of self-adjoint realizations of discrete (magnetic) Schr ¨odinger operators.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs On the existence and uniqueness of self-adjoint realizations of discrete (magnetic) Schr ¨odinger operators

Reference 55

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Observation 4f484fed-16c6-4cdb-8247-f7d87bf7b1ac · outbound

This paper cites A nonlinear characterization of stochastic completeness of graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs A nonlinear characterization of stochastic completeness of graphs

Reference 56

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Observation d63102bc-a1f3-4d79-9bda-585eaf1c45b0 · outbound

This paper cites Laplaciens de graphes infinis (I-graphes) m ´etriquement complets.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Laplaciens de graphes infinis (I-graphes) m ´etriquement complets

Reference 57

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Observation c57501fe-016c-4e9c-a285-04dd3f3c687d · outbound

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On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Unresolved cited work

Reference 58

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Observation 5ca982de-5296-4bc3-be9b-32bd09a5e565 · outbound

This paper cites Analysis of the physical Laplacian and the heat flow on a locally finite graph.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Analysis of the physical Laplacian and the heat flow on a locally finite graph

Reference 59

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Observation 48081045-61c8-4b49-93f1-5a96fec9ddff · outbound

This paper cites On the solutions of equations for nonlinear resistive networks.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs On the solutions of equations for nonlinear resistive networks

Reference 60

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Observation f6739359-8950-4e27-9125-e2330417ab20 · outbound

This paper cites Heat kernel and essential spectrum of infinite graphs.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Heat kernel and essential spectrum of infinite graphs

Reference 61

Resolution
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Observation d7f35af8-1de4-4148-9ccc-61c8445b8190 · outbound

This paper cites Stochastic completeness of graphs: bounded Laplacians, intrinsic metrics, volume growth and curvature.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Stochastic completeness of graphs: bounded Laplacians, intrinsic metrics, volume growth and curvature

Reference 62

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source=pdf_text observed=2026-07-13T01:39:43.400940Z digest=sha256:677db49a3503e51a5c9682f841ca841d4355f4960ad5d8de61ac9173358ef566

Observation 6a464ed9-b633-4f99-b095-592916a14b1e · outbound

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On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs Unresolved cited work

Reference 63

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Pith citing papers

Observation 27352d9e-57f6-40c8-ac7e-a2177a5eb306 · inbound

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation cites this paper.

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs

Reference 10

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