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May 31, 20260 citationsOpen Access

Living Temporal Graphs: A Foundational Framework with a Complete Taxonomy of Paths

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MGMadjid Eshaghi GordjiSemnan UniversityMBMohamadali BerahmanSemnan UniversityHEHasti EshaghiUniversity of Tehran

Key Points

  • This work aims to provide a foundational framework and complete taxonomy of paths in living temporal graphs.
  • Includes supplementary materials related to the definitions and examples in the manuscript.
  • Develops a taxonomy of temporal paths and state-sensitive vertex behaviour.
  • Explores continuous-flow and discrete-transport edges and their equivalence to a time-expanded static graph.
  • Defines clear categories and examples of temporal paths.
  • Demonstrates state-sensitive vertex behaviours.
  • Establishes the equivalence between living temporal graphs and time-expanded static graphs.

Abstract

This record contains supplementary materials associated with the manuscript entitled “Living Temporal Graphs: Stateful Vertices, Temporal Paths, and Connectable Discrete Families”. The files are provided to support the definitions, examples, and theoretical results developed in the manuscript, including the taxonomy of temporal paths, state-sensitive vertex behaviour, continuous-flow and discrete-transport edges, and the equivalence with a time-expanded static graph.

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Cite This Study

Gordji et al. (2026) studied this question.

synapsesocial.com/papers/6a1bd2845783ba022b6fe043https://doi.org/10.5281/zenodo.20450263
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