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arxiv: 1212.3055 · v2 · pith:NPFD42VDnew · submitted 2012-12-13 · 💻 cs.DS · cs.DM

New Invariants for the Graph Isomorphism Problem

classification 💻 cs.DS cs.DM
keywords graphcomputegraphsinvariantsalgorithmanswerdegreesfinite
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In this paper we introduce a novel polynomial-time algorithm to compute graph invariants based on the modified random walk idea on graphs. However not proved to be a full graph invariant by now, our method gives the right answer for the graph instances other well-known methods could not compute (such as special Furer Gadgets and point-line incidence graphs of finite projective planes of higher degrees

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Finding Graph Isomorphisms in Heated Spaces in Almost No Time

    physics.comp-ph 2026-01 unverdicted novelty 6.0

    Curvature-based candidate construction plus explicit verification solves graph isomorphism correctly on all tested hard instances in deterministic polynomial time.