TY - JOUR

T1 - Subgraph isomorphism in graph classes

AU - Kijima, Shuji

AU - Otachi, Yota

AU - Saitoh, Toshiki

AU - Uno, Takeaki

N1 - Funding Information:
The authors would like to thank the anonymous referees for their helpful comments and suggestions. Part of this research is supported by the Funding Program for World-Leading Innovative R & D on Science and Technology, Japan , and Grants-in-Aid for Scientific Research from Ministry of Education, Science and Culture, Japan , and Japan Society for the Promotion of Science .

PY - 2012/11/6

Y1 - 2012/11/6

N2 - We investigate the computational complexity of the following restricted variant of Subgraph Isomorphism: given a pair of connected graphs G=(V G,E G) and H=(V H,E H), determine if H is isomorphic to a spanning subgraph of G. The problem is NP-complete in general, and thus we consider cases where G and H belong to the same graph class such as the class of proper interval graphs, of trivially perfect graphs, and of bipartite permutation graphs. For these graph classes, several restricted versions of Subgraph Isomorphism such as Hamiltonian Path, Clique, Bandwidth, and Graph Isomorphism can be solved in polynomial time, while these problems are hard in general.

AB - We investigate the computational complexity of the following restricted variant of Subgraph Isomorphism: given a pair of connected graphs G=(V G,E G) and H=(V H,E H), determine if H is isomorphic to a spanning subgraph of G. The problem is NP-complete in general, and thus we consider cases where G and H belong to the same graph class such as the class of proper interval graphs, of trivially perfect graphs, and of bipartite permutation graphs. For these graph classes, several restricted versions of Subgraph Isomorphism such as Hamiltonian Path, Clique, Bandwidth, and Graph Isomorphism can be solved in polynomial time, while these problems are hard in general.

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U2 - 10.1016/j.disc.2012.07.010

DO - 10.1016/j.disc.2012.07.010

M3 - Article

AN - SCOPUS:84865102283

SN - 0012-365X

VL - 312

SP - 3164

EP - 3173

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 21

ER -