New Invariants for the Graph Isomorphism Problem


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Abstract

Abstract

In this paper, we introduce a novel polynomial-time algorithm to compute graph invariants based on the idea of a modified random walk on graphs. Though not proved to be a full graph invariant yet, our method gives the right answer for the graph instances other well-known methods could not compute (such as special Fürer gadgets and point-line incidence graphs of finite projective planes of higher degrees).

About the authors

A. Gamkrelidze

Iv. Javakhishvili Tbilisi State University

Author for correspondence.
Email: alexander.gamkrelidze@tsu.ge
Georgia, Tbilisi

L. Varamashvili

Iv. Javakhishvili Tbilisi State University

Email: alexander.gamkrelidze@tsu.ge
Georgia, Tbilisi

G. Hotz

Department of Computer Science, Saarland University

Email: alexander.gamkrelidze@tsu.ge
Germany, Saarbrücken

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