Results 221 to 230 of about 615,797 (257)

Graph Isomorphism is in SPP [PDF]

open access: yesInformation and Computation, 2006
We show that Graph Isomorphism is in the complexity class SPP, and hence it is in ⊕P (in fact, in ModkP for each k⩾2). These inclusions for Graph Isomorphism were not known prior to membership in SPP.
Vikraman Arvind
exaly   +7 more sources

Graph isomorphism completeness for chordal bipartite graphs and strongly chordal graphs [PDF]

open access: yesDiscrete Applied Mathematics, 2005
This paper deal with the graph isomorphism (GI) problem for two graph classes: chordal bipartite graphs and strongly chrdal graphs. It is known that GI problem is GI complete for some special graph classes including regular graphs, bipartite graphs ...
Ryuhei Uehara
exaly   +2 more sources

Fractional isomorphism of graphs

open access: yesDiscrete Mathematics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ed Scheinerman
exaly   +3 more sources

Improved random graph isomorphism [PDF]

open access: yesJournal of Discrete Algorithms, 2008
Canonical labeling of a graph consists of assigning a unique label to each vertex such that the labels are invariant under isomorphism. Such a labeling can be used to solve the graph isomorphism problem.
Gopal Pandurangan
exaly   +2 more sources
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P3-isomorphisms for graphs

Journal of Graph Theory, 1997
The \(P_3\)-graph of a finite simple graph \(G\), denoted \(P_3(G)\), is the graph whose vertices are the 3-vertex paths of \(G\), with adjacency between two such paths whenever their union is a 4-vertex path or a 3-cycle. Note that \(P_k(G)\) can be defined in a similar way, and that these graphs generalize \(P_2(G)\), the line graph of \(G\).
Robert E. L. Aldred   +3 more
openaire   +3 more sources

The graph isomorphism disease

Journal of Graph Theory, 1977
AbstractThe graph isomorphism problem—to devise a good algorithm for determining if two graphs are isomorphic—is of considerable practical importance, and is also of theoretical interest due to its relationship to the concept of NP‐completeness. No efficient (i.e., polynomial‐bound) algorithm for graph isomorphism is known, and it has been conjectured ...
Ronald C. Read, Derek G. Corneil
openaire   +1 more source

The graph isomorphism problem

Communications of the ACM, 2020
Exploring the theoretical and practical aspects of the graph isomorphism problem.
Martin Grohe, Pascal Schweitzer
openaire   +2 more sources

On the hardness of graph isomorphism

Proceedings 41st Annual Symposium on Foundations of Computer Science, 2002
Summary: We show that the graph isomorphism problem is hard under DLOGTIME uniform AC{\(^0\)} many-one reductions for the complexity classes NL, PL (probabilistic logarithmic space) for every logarithmic space modular class {Mod}\(_k\)L and for the class DET of problems NC{\(^1\)} reducible to the determinant.
openaire   +1 more source

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