We investigate the interplay between the graph isomorphism problem, logical definability, and structural graph theory on a rich family of dense graph classes: graph classes of bounded rank width. We ...

Abstract: This paper includes the analysis and the results of the study of the possibility to utilize the unevenness coefficients of the use of individual graph edges for the assessment of the ...

This project has been created for Discrete Mathematics 1 and is meant to check isomorphism of two simple, non-directional graphs. Graphs can be entered either manually or with properly formatted text ...

Graphs are a ubiquitous mathematical abstraction used in numerous problems in science and engineering. Of particular importance is the need to find the best structure-preserving matching of graphs.

The graph isomorphism problem remains one of those mysteries in theoretical computer science that fascinates laypersons and experts alike. In 1979, Garey and Johnson mentioned the problem in their ...

Graphs are fundamental data structures used to represent a wide range of relationships between objects. In a graph, entities (nodes or vertices) are connected by edges, which can be directed or ...

Given two graphs which are almost isomorphic, is it possible to find a bijection which preserves most of the edges between the two? This is the algorithmic task of Robust Graph Isomorphism, which is a ...

The graph isomorphism problem (GI) plays a central role in the theory of computational complexity and has importance in physics and chemistry as well \cite{kobler93,fortin96}. No polynomial-time ...