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Graph signatures: Identification and optimization

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  • Balasundaram, Balabhaskar
  • Borrero, Juan S.
  • Pan, Hao

Abstract

We introduce a new graph-theoretic paradigm called a graph signature that describes persistent patterns in a sequence of graphs. This framework is motivated by the need to detect subgraphs of significance in temporal networks, e.g., social and biological networks that evolve over time. Because the subgraphs of interest may not all “look alike” in the snapshots of the temporal network, the framework deems a subgraph to be persistent if it satisfies one of several preselected properties in each snapshot of a consecutive subsequence. The persistency requirement is parameterized by the length of this subsequence. This discrete mathematical framework can be viewed more broadly as a way to generalize classical graph properties and invariants associated with a single graph to a sequence of graphs.

Suggested Citation

  • Balasundaram, Balabhaskar & Borrero, Juan S. & Pan, Hao, 2022. "Graph signatures: Identification and optimization," European Journal of Operational Research, Elsevier, vol. 296(3), pages 764-775.
    • Handle: RePEc:eee:ejores:v:296:y:2022:i:3:p:764-775
    DOI: 10.1016/j.ejor.2021.03.051
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    References listed on IDEAS

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