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Quasi-stable Coloring for Graph Compression: Approximating Max-Flow, Linear Programs, and Centrality

Summary: Introduce quasi-stable coloring, an approximate variant of color refinement that trades strict symmetry for compression to produce compact, lossy graph summaries enabling approximate LP, max-flow, and betweenness-centrality on reduced graphs. Prove computing a maximal quasi-stable coloring is NP-hard, present a simple heuristic algorithm, and empirically demonstrate strong compression/approximation on real graphs versus prior techniques. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
13333
Venue
VLDB
Year
2023
Pagerank
4.1945683e-05
Overall Rank
11,306 | 21.35%
DOI
10.14778/3574245.3574264

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Rank Citing Paper Year Venue Pagerank
9,877 Color: A Framework for Applying Graph Coloring to Subgraph Cardinality Estimation 2025 VLDB 4.2656547e-05
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Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
1,190 word2vec, node2vec, graph2vec, X2vec: Towards a Theory of Vector Embeddings of Structured Data 2020 PODS 0.00013438056
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