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Paper Citation Record · LEDGER

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem

As of 12 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2507.07894.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.07894 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:48:13.535589Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

  • verified exact7
  • verified fuzzy5
  • unresolved12
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c0501edc-8060-4d16-8bba-45577ac69c2e · outbound

This paper cites Network Design and Transport ation Planning: Models and Algorithms.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Network Design and Transport ation Planning: Models and Algorithms

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T18:48:13.355676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 8ef898de-4cd6-4b52-8666-174b939377be · outbound

This paper cites an unresolved cited work.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:48:14.327727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 769b981d-1dea-40f4-83e7-8faa8cdf68f6 · outbound

This paper cites Computational Complex ity of Discrete Optimization Problems.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Computational Complex ity of Discrete Optimization Problems

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:48:14.308810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:48:13.372031Z digest=sha256:553888ee53882950a8e0eb0824780e6c34a3b59ed5ac0fe715a4e3cf072ba331

Observation bfb81403-8b2f-48a5-aa27-9a69babba465 · outbound

This paper cites Worst-Case Analysis of Network Design Problem Heu ris- tics.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Worst-Case Analysis of Network Design Problem Heu ris- tics

Reference 4

Resolution
verified exact
doi, observed 2026-08-06T18:48:13.729020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 048a5604-f9b9-4048-95c8-bf4737b54a3c · outbound

This paper cites an unresolved cited work.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:48:14.288720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 19fe0b23-cdea-4fbe-9016-daa39b157cb7 · outbound

This paper cites A review of urban transportation networ k design problems.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem A review of urban transportation networ k design problems

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T18:48:13.391358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:48:13.391358Z digest=sha256:274414963d249b0e7d04ab767ce2d7b324a8da12c3d88425b3fbe8167091a3eb

Observation 6764fa00-37b3-4f5c-a846-12229689fc2b · outbound

This paper cites The multiobjective equilibrium network design pr ob- lem revisited: A simulated annealing approach.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem The multiobjective equilibrium network design pr ob- lem revisited: A simulated annealing approach

Reference 7

Resolution
verified exact
doi, observed 2026-08-06T18:48:13.700646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:48:13.397780Z digest=sha256:9071afc9075803d10e82501a3123405452a96a1d45faabbdeceac20f178fe60c

Observation 6be69711-24a7-4250-87bc-a73625321d18 · outbound

This paper cites A multi-objective meta- heuristic approach for transit network design and frequency set ting problem in a bus transit system.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem A multi-objective meta- heuristic approach for transit network design and frequency set ting problem in a bus transit system

Reference 8

Resolution
verified exact
doi, observed 2026-08-06T18:48:13.681007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:48:13.404627Z digest=sha256:b5906efbdd2d9124b52de9180534620a83f64e6d28367dcd2fdaa0367dcdf065

Observation 7d967115-78de-49b2-8195-b3c161385416 · outbound

This paper cites Multiobjective design of transportation net- works: Taxonomy and annotation.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Multiobjective design of transportation net- works: Taxonomy and annotation

Reference 9

Resolution
verified exact
doi, observed 2026-08-06T18:48:13.663746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:48:13.409581Z digest=sha256:d89e61052f5969592083c1565fe75922cf18196657b387a2fdb057c3c452570e

Observation 6fd2c831-542e-49a9-a57b-1ab09cd4fce3 · outbound

This paper cites The multi-criteria road network d e- sign problem in an urban area.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem The multi-criteria road network d e- sign problem in an urban area

Reference 10

Resolution
verified exact
doi, observed 2026-08-06T18:48:13.643978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 56f2a72e-8a57-45e5-ae9a-ca78c7f9d33e · outbound

This paper cites The Bus Rapid Transit investment proble m.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem The Bus Rapid Transit investment proble m

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T18:48:13.422868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:48:13.422868Z digest=sha256:c46601c05b5a9690db784d88bbacdf96b7528ff4f59e71a1e2610d5d9b1f917e

Observation 4d1ab357-7164-4cb8-b200-2fd79bee7b97 · outbound

This paper cites an unresolved cited work.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:48:14.268955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:48:13.433021Z digest=sha256:d5a86ce4c8a18d6ef4caed675acd8955c961ece250aff5e5200ab6325a7f6f56

Observation 21890abc-1cf8-4703-a864-8d9ac21fb516 · outbound

This paper cites The c om- plexity of the network design problem.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem The c om- plexity of the network design problem

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:48:14.249924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:48:13.455892Z digest=sha256:80a29e17ef14c5be6f018237e08ef6fec316a59322b126ea8f3257b19f02febf

Observation 5ec15a59-cffb-44b8-91cb-2ed1b5231e5d · outbound

This paper cites Reducibility among Combinatorial Problems.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Reducibility among Combinatorial Problems

Reference 14

Resolution
malformed identifier
no resolver link, observed 2026-08-06T18:48:13.481901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:48:13.481901Z digest=sha256:87536fa9e7acc3e80cb8be581b3bd6d31e057aeb75ba71b8ba1c055f5f6bb047

Observation 2a2b3db9-2ad3-4959-9dbb-230c32be193e · outbound

This paper cites an unresolved cited work.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:48:14.230288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 60c111c2-873f-45f7-8ed2-9063256627c6 · outbound

This paper cites an unresolved cited work.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-06T18:48:13.491935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:48:13.491935Z digest=sha256:30cc08b21f9ad7d1046d17e6e3b11a41bbd62de827ccba68836f55d6ef3365a7

Observation 0bf932a0-19a0-4296-b9ff-ebe492bbf007 · outbound

This paper cites Efficient route planning on public transportation n et- works: A labelling approach.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Efficient route planning on public transportation n et- works: A labelling approach

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:48:14.214108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:48:13.497223Z digest=sha256:383fa4fab8e12f034c9361010deaa60dfdc4151825625fa5b5d9279c751ea703

Observation e46007a3-8c76-491b-ad0c-136747a32c9e · outbound

This paper cites Improved dynamic programming in con- nection with an FPTAS for the knapsack problem.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Improved dynamic programming in con- nection with an FPTAS for the knapsack problem

Reference 18

Resolution
verified exact
raw_fallback, observed 2026-08-06T18:48:13.933632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:48:13.507921Z digest=sha256:b31bb2382712c4c8f03897b21ff078b53edbf85ccd5852e8c06cabd7a34473ba

Observation 173e2065-ed3c-43b1-8d71-f2dc6437e340 · outbound

This paper cites A fully polynomial approximation al- gorithm for the 0–1 knapsack problem.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem A fully polynomial approximation al- gorithm for the 0–1 knapsack problem

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:48:14.197239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:48:13.513384Z digest=sha256:739b3556675c49e64c81bc2db37e5aaf1ef1b91928ce11d8efc24d8bc53cf1b8

Observation 8f12a08f-f9bc-4459-92b2-c9e55d628258 · outbound

This paper cites Approximating Mult iobjec- tive Knapsack Problems.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Approximating Mult iobjec- tive Knapsack Problems

Reference 20

Resolution
verified exact
doi, observed 2026-08-06T18:48:13.590738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:48:13.518371Z digest=sha256:0b36ecd445b818c0d68bd0f2c8fa33ca2f276fef407bd59ee77a2b4e6e720df9

Observation e2f0b8ae-86f0-45eb-9840-2f6f0dd4cb3c · outbound

This paper cites There is no EPTAS for two-dimensional knapsack.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem There is no EPTAS for two-dimensional knapsack

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:48:14.178219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 684fd4fc-2bc5-433a-bc7e-edce117396fa · outbound

This paper cites Algorithm 97: Shortest path.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Algorithm 97: Shortest path

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-06T18:48:13.535589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:48:13.535589Z digest=sha256:8aae755697be94b98c91d710679f4fd27e0a8dbfb8780a67642feb2222234225

Observation b3c2f5bd-9fa1-43b7-8b96-3d803c1b2635 · outbound

This paper cites an unresolved cited work.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Unresolved cited work

Reference 285

Resolution
unresolved
no resolver link, observed 2026-08-06T18:48:13.476237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:48:13.476237Z digest=sha256:feecd170b09cf8681fa175559863e302b7f9e179864cf6ccce707855a15a47c1

Observation ab7e777b-bbfb-4698-87e5-406012d511a2 · outbound

This paper cites an unresolved cited work.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Unresolved cited work

Reference 710

Resolution
unresolved
no resolver link, observed 2026-08-06T18:48:13.529124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:48:13.529124Z digest=sha256:ba80786c7e87007066e445fd7d91005304bea15e5252e2fb4b18c5fdf58d9eb8

Observation 65c994a1-1274-42bb-92bf-770b224a65bf · outbound

This paper cites an unresolved cited work.

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem Unresolved cited work

Reference 982

Resolution
unresolved
no resolver link, observed 2026-08-06T18:48:13.501804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:48:13.501804Z digest=sha256:3165be2762541afc4df01b8621b91c86e06f870bf246bbe35fb3dc04c33a202e

Pith citing papers

No inbound Pith citation observations are available.