Linear Matroid Intersection is in Catalytic Logspace | Paper Citation Record

Observation 9cc7617f-650d-4d13-8d2d-f61fcb68750c · outbound

This paper cites The complexity of matrix rank and feasible systems of linear equations (extended abstract).

Linear Matroid Intersection is in Catalytic Logspace The complexity of matrix rank and feasible systems of linear equations (extended abstract)

Reference 1

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This paper cites an unresolved cited work.

Linear Matroid Intersection is in Catalytic Logspace Unresolved cited work

Reference 2

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Observation 0112003b-6e92-4f74-aab4-77f4f650f855 · outbound

This paper cites Catalytic Computing and Register Programs Beyond Log-Depth.

Linear Matroid Intersection is in Catalytic Logspace Catalytic Computing and Register Programs Beyond Log-Depth

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:29:07.894427Z

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Observation 80f3c454-2b1c-4301-bfd9-f628d510df87 · outbound

This paper cites Impossibility of derandomizing the isolation lemma for all families.

Linear Matroid Intersection is in Catalytic Logspace Impossibility of derandomizing the isolation lemma for all families

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.561043Z

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Observation a7d4ab68-ca0c-4f6b-ac3e-0b5c39083629 · outbound

This paper cites Derandomizing the isolation lemma and lower bounds for circuit size.

Linear Matroid Intersection is in Catalytic Logspace Derandomizing the isolation lemma and lower bounds for circuit size

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.545532Z

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Observation 5de16192-a104-4107-b97c-aa0d8592282f · outbound

This paper cites Bipartite matching is in catalytic logspace.

Linear Matroid Intersection is in Catalytic Logspace Bipartite matching is in catalytic logspace

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.529816Z

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Observation 0ebff587-5908-447e-9eca-374701650e67 · outbound

This paper cites Matching is as Easy as the Decision Problem, in the NC Model.

Linear Matroid Intersection is in Catalytic Logspace Matching is as Easy as the Decision Problem, in the NC Model

Reference 7

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Observation 86a8a32b-f5a8-4965-bce5-80b109685dea · outbound

This paper cites Computing with a full memory: catalytic space.

Linear Matroid Intersection is in Catalytic Logspace Computing with a full memory: catalytic space

Reference 8

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Observation e3fe8181-49a2-495a-82fa-40e98679a2e5 · outbound

This paper cites Almost-catalytic computation.

Linear Matroid Intersection is in Catalytic Logspace Almost-catalytic computation

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.514409Z

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Observation 9a6c574f-f793-4b9d-beed-ced4485688e0 · outbound

This paper cites On pure space vs catalytic space.

Linear Matroid Intersection is in Catalytic Logspace On pure space vs catalytic space

Reference 10

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Observation a3bff43f-a8d6-4811-ac9d-57ffd36f8fc9 · outbound

This paper cites Two theorems in graph theory.

Linear Matroid Intersection is in Catalytic Logspace Two theorems in graph theory

Reference 11

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Observation cacc790b-68f0-4ef3-88ef-8d5356332d90 · outbound

This paper cites Quantum Catalytic Space.

Linear Matroid Intersection is in Catalytic Logspace Quantum Catalytic Space

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:29:07.787490Z

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Observation 051b0624-a31b-4292-bca9-018fd2761a5e · outbound

This paper cites Catalytic space: Non-determinism and hierarchy.

Linear Matroid Intersection is in Catalytic Logspace Catalytic space: Non-determinism and hierarchy

Reference 13

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Observation 13d58a2d-b7fb-4202-9d05-f226431dba0d · outbound

This paper cites Comments on bases in dependence structures.

Linear Matroid Intersection is in Catalytic Logspace Comments on bases in dependence structures

Reference 14

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Observation cd6fadda-7ead-4ae8-a9f4-a9fa2708d436 · outbound

This paper cites Directed planar reachability is in unambiguous log-space.

Linear Matroid Intersection is in Catalytic Logspace Directed planar reachability is in unambiguous log-space

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.487887Z

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Observation 7f82249d-eb39-42b1-a919-7344ef47dcdb · outbound

This paper cites The structure of catalytic space: Capturing randomness and time via compression.

Linear Matroid Intersection is in Catalytic Logspace The structure of catalytic space: Capturing randomness and time via compression

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.472742Z

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Observation 1b119783-f414-4591-95a9-ef5726061a87 · outbound

This paper cites Catalytic approaches to the tree evaluation problem.

Linear Matroid Intersection is in Catalytic Logspace Catalytic approaches to the tree evaluation problem

Reference 17

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Observation 73106b50-d8b8-4cca-89df-8ddcb8c8e6bf · outbound

This paper cites Encodings and the tree evaluation problem.

Linear Matroid Intersection is in Catalytic Logspace Encodings and the tree evaluation problem

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.457526Z

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Observation 3e1e108a-58df-450b-9cb9-f1bc4207b491 · outbound

This paper cites Trading time and space in catalytic branching programs.

Linear Matroid Intersection is in Catalytic Logspace Trading time and space in catalytic branching programs

Reference 19

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Observation c36e3229-05a1-4eaf-85ab-ae89825d3aab · outbound

This paper cites Tree evaluation is in space O (log n \( \) log log n).

Linear Matroid Intersection is in Catalytic Logspace Tree evaluation is in space O (log n \( \) log log n)

Reference 20

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Observation c338ef55-625d-46a9-bc6f-8ef802292531 · outbound

This paper cites Cook, Pierre McKenzie, Dustin Wehr, Mark Braverman, and Rahul Santhanam.

Linear Matroid Intersection is in Catalytic Logspace Cook, Pierre McKenzie, Dustin Wehr, Mark Braverman, and Rahul Santhanam

Reference 21

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Observation 2ac44217-379c-40b3-bf4e-16e9bec39044 · outbound

This paper cites Randomness-optimal unique element isolation, with applications to perfect matching and related problems.

Linear Matroid Intersection is in Catalytic Logspace Randomness-optimal unique element isolation, with applications to perfect matching and related problems

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.441281Z

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Observation fa37d63e-61ef-401f-9226-e27740c6d021 · outbound

This paper cites Randomized and symmetric catalytic computation.

Linear Matroid Intersection is in Catalytic Logspace Randomized and symmetric catalytic computation

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T16:29:07.097562Z

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Observation 368e73b6-eff6-4ee9-b2b7-d3ba3f200a86 · outbound

This paper cites Matroid partition.

Linear Matroid Intersection is in Catalytic Logspace Matroid partition

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.425404Z

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Observation 7dd3ccab-0383-41ff-bcd5-cbc7b2cfffb3 · outbound

This paper cites Submodular functions, matroids, and certain polyhedra.

Linear Matroid Intersection is in Catalytic Logspace Submodular functions, matroids, and certain polyhedra

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.409578Z

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Observation fce2d10b-a3db-4b90-87fc-b329043a682a · outbound

This paper cites Matroid intersection.

Linear Matroid Intersection is in Catalytic Logspace Matroid intersection

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.393988Z

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Observation a31bdb4c-8248-4b42-8c18-5b4fbfec95ae · outbound

This paper cites Bipartite perfect matching is in quasi-nc.

Linear Matroid Intersection is in Catalytic Logspace Bipartite perfect matching is in quasi-nc

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.378366Z

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Observation ad1203a4-0eb5-439f-815e-00cf81702259 · outbound

This paper cites Fully characterizing lossy catalytic computation.

Linear Matroid Intersection is in Catalytic Logspace Fully characterizing lossy catalytic computation

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.361698Z

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Observation 6eaa7cfe-0228-4e4d-87ad-07bfe06d77ff · outbound

This paper cites A primal approach to the independent assignment problem.

Linear Matroid Intersection is in Catalytic Logspace A primal approach to the independent assignment problem

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.345588Z

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Observation 1c610859-25d7-4b02-a048-5b132a87ca86 · outbound

This paper cites Unambiguous catalytic computation.

Linear Matroid Intersection is in Catalytic Logspace Unambiguous catalytic computation

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T16:29:07.131970Z

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Observation 1ea9946e-39ef-436d-b827-7d3676549f96 · outbound

This paper cites Lossy Catalytic Computation.

Linear Matroid Intersection is in Catalytic Logspace Lossy Catalytic Computation

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T16:29:07.136814Z

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Observation c0fb546d-6586-4636-8dc1-c0a6285b073a · outbound

This paper cites Linear matroid intersection is in quasi-nc.

Linear Matroid Intersection is in Catalytic Logspace Linear matroid intersection is in quasi-nc

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.329594Z

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Observation bd7a2a60-d9fb-481f-b881-061c6b727b24 · outbound

This paper cites Isolating a vertex via lattices: Polytopes with totally unimodular faces.

Linear Matroid Intersection is in Catalytic Logspace Isolating a vertex via lattices: Polytopes with totally unimodular faces

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.312658Z

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Observation b5008792-d742-4d07-8b36-eb81003e7aff · outbound

This paper cites Collapsing catalytic classes.

Linear Matroid Intersection is in Catalytic Logspace Collapsing catalytic classes

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.294914Z

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Observation 7fe08b67-f656-4a9c-aaad-8da70417437a · outbound

This paper cites Catalytic computation.

Linear Matroid Intersection is in Catalytic Logspace Catalytic computation

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.276791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 866f07cb-707a-4f8c-b32e-44f0a7365226 · outbound

This paper cites A combinatorial base for some optimal matroid intersection algorithms.

Linear Matroid Intersection is in Catalytic Logspace A combinatorial base for some optimal matroid intersection algorithms

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.260711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a5adbbb1-950d-4cb1-9db9-bab85826e578 · outbound

This paper cites A combinatorial proof for a weighted matroid intersection algorithm.

Linear Matroid Intersection is in Catalytic Logspace A combinatorial proof for a weighted matroid intersection algorithm

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.243689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fdb6b397-6a02-497c-a18f-ae3a6933fc20 · outbound

This paper cites The dependence graph for bases in matroids.

Linear Matroid Intersection is in Catalytic Logspace The dependence graph for bases in matroids

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.227188Z

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Observation fcf59c49-3565-4147-b75f-af18be466e8a · outbound

This paper cites Randomness efficient identity testing of multivariate polynomials.

Linear Matroid Intersection is in Catalytic Logspace Randomness efficient identity testing of multivariate polynomials

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.210883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6e34f356-f70a-409e-b44d-ed2ba9c4b8ba · outbound

This paper cites Trading Determinism for Time in Space Bounded Computations.

Linear Matroid Intersection is in Catalytic Logspace Trading Determinism for Time in Space Bounded Computations

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:29:07.545498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fec04348-fba9-4f6e-a8a6-38e3131231cb · outbound

This paper cites The hungarian method for the assignment problem.

Linear Matroid Intersection is in Catalytic Logspace The hungarian method for the assignment problem

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-15T16:29:07.186479Z

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Observation 3c77be39-f68b-421e-a914-c518c94b4a78 · outbound

This paper cites an unresolved cited work.

Linear Matroid Intersection is in Catalytic Logspace Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-15T16:29:07.191266Z

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Observation c19ce5f9-2a83-49ee-bfc3-ebd155ae57ee · outbound

This paper cites The matroid matching problem.

Linear Matroid Intersection is in Catalytic Logspace The matroid matching problem

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.181259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e7764e72-b5a9-4470-98fb-00b5d8462667 · outbound

This paper cites On determinants, matchings, and random algorithms.

Linear Matroid Intersection is in Catalytic Logspace On determinants, matchings, and random algorithms

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.164401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e013d849-3b27-4244-8e43-ab2fa09fa617 · outbound

This paper cites Matroid matching and some applications.

Linear Matroid Intersection is in Catalytic Logspace Matroid matching and some applications

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-15T16:29:07.205399Z

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Observation 546a657d-ed56-4954-b3ca-e6ca8fe0c0e0 · outbound

This paper cites A fast parallel algorithm for minimum-cost small integral flows.

Linear Matroid Intersection is in Catalytic Logspace A fast parallel algorithm for minimum-cost small integral flows

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.136380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation de4d9943-0ef3-46c3-8d29-8086e0bd46d8 · outbound

This paper cites Reusing space: Techniques and open problems.

Linear Matroid Intersection is in Catalytic Logspace Reusing space: Techniques and open problems

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.120052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 37e70841-54b5-4dbf-a538-e3e79c5bc5d7 · outbound

This paper cites an unresolved cited work.

Linear Matroid Intersection is in Catalytic Logspace Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:29:08.102953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 74a50bd2-56b0-4af3-8ee5-55d3651ebe43 · outbound

This paper cites Matching is as easy as matrix inversion.

Linear Matroid Intersection is in Catalytic Logspace Matching is as easy as matrix inversion

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-15T16:29:07.223913Z

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Observation a7a069fc-0ff5-45d1-82e1-542d3f92a74a · outbound

This paper cites Randomized parallel algorithms for matroid union and intersection, with applications to arborescences and edge-disjoint spanning trees.

Linear Matroid Intersection is in Catalytic Logspace Randomized parallel algorithms for matroid union and intersection, with applications to arborescences and edge-disjoint spanning trees

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.075749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a938310e-5b8b-4d3e-8a77-015bd4a69184 · outbound

This paper cites Parallel algorithms for the assignment and minimum-cost flow problems.

Linear Matroid Intersection is in Catalytic Logspace Parallel algorithms for the assignment and minimum-cost flow problems

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.057922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8129a1be-cdda-4c73-a007-00056c5f9665 · outbound

This paper cites A note on amortized branching program complexity.

Linear Matroid Intersection is in Catalytic Logspace A note on amortized branching program complexity

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-15T16:29:07.237906Z

Source-reported events for the cited work

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Observation 58bd8f4f-5336-41d2-9778-4613e9e23c6a · outbound

This paper cites Sheffield, and William Wang.

Linear Matroid Intersection is in Catalytic Logspace Sheffield, and William Wang

Reference 53

Resolution: verified exact; doi, observed 2026-08-15T16:29:07.323784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4e29f6ad-3815-4f51-a0a3-de1ef8f41bc2 · outbound

This paper cites Making nondeterminism unambiguous.

Linear Matroid Intersection is in Catalytic Logspace Making nondeterminism unambiguous

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.041476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3292436a-7904-435a-ba27-830f756507b8 · outbound

This paper cites Amortized circuit complexity, formal complexity measures, and catalytic algorithms.

Linear Matroid Intersection is in Catalytic Logspace Amortized circuit complexity, formal complexity measures, and catalytic algorithms

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-15T16:29:07.252394Z

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Observation e4de2f13-0c7d-47a1-82cd-473fe715ab9b · outbound

This paper cites Combinatorial Optimization: Polyhedra and Efficiency , volume 24 of Algorithms and Combinatorics.

Linear Matroid Intersection is in Catalytic Logspace Combinatorial Optimization: Polyhedra and Efficiency , volume 24 of Algorithms and Combinatorics

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.024479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6e1d8d05-f859-450a-80d7-4e99ef553446 · outbound

This paper cites Derandomizing isolation in space-bounded settings.

Linear Matroid Intersection is in Catalytic Logspace Derandomizing isolation in space-bounded settings

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:08.007043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 92eb0593-134a-4c77-9f3e-c8187db1949e · outbound

This paper cites On the abstract properties of linear dependence.

Linear Matroid Intersection is in Catalytic Logspace On the abstract properties of linear dependence

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-15T16:29:07.266404Z

Source-reported events for the cited work

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Observation 97d3bdb0-4971-4263-81ec-b0914ac8082e · outbound

This paper cites Simulating time in square-root space.

Linear Matroid Intersection is in Catalytic Logspace Simulating time in square-root space

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:29:07.988400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Coverage vector

Reference resolution

Outbound references

Pith citing papers