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Recognizing Small Subgraphs (1995)  (Make Corrections)  (1 citation)
Gopalakrishnan Sundaram, Steven S. Skiena
NETWORKS: Networks: An International Journal



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Abstract: Although the general problem of subgraph isomorphism is NP-complete, polynomialtime algorithms exist for recognizing any fixed subgraph. However, certain subgraphs appear easier to recognize than others. In this paper, we present general algorithms for fixed-subgraph isomorphism which improve or unify previous results. In particular, we present an O(n m) algorithm for recognizing a fixed subgraph H with flower number f within a graph G with n vertices and m edges. Special cases of this... (Update)

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...counting method used here yields, in particular, a way of finding C k s for k 7, in O(V ) worst case time. Sundaram and Skiena [14] have recently presented some more fixed subgraph isomorphism algorithms. The results presented here, and in [1] and [15] improve some of...

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BibTeX entry:   (Update)

G. Sundaram and S.S. Skiena. Recognizing small subgraphs. Networks, 1995. To appear. http://citeseer.ist.psu.edu/sundaram95recognizing.html   More

@article{ sundaram95recognizing,
    author = "Sundaram and Skiena",
    title = "Recognizing Small Subgraphs",
    journal = "NETWORKS: Networks: An International Journal",
    volume = "25",
    year = "1995",
    url = "citeseer.ist.psu.edu/sundaram95recognizing.html" }
Citations (may not include all citations):
4212   Computers and intractability: A guide to the theory of NP-co.. (context) - Garey, Johnson - 1979
143   Algorithmic aspects of tree-width (context) - Robertson, Seymour - 1986
89   A linear recognition algorithm for cographs (context) - Corniel, Perl et al. - 1985
41   Arboricity and subgraph listing algorithms (context) - Chiba, Nishizeki - 1985
31   An algorithm for subgraph isomorphism (context) - Ullman - 1976
24   Cycles of even lengths in graphs (context) - Bondy, Simonovits - 1974
20   Finding a minimum circuit in a graph (context) - Itai, Rodeh - 1978
15   How to find long paths efficiently (context) - Monien - 1985
11   The complexity of restricted spanning tree problems (context) - Papadimitriou, Yannakakis - 1982
10   On maximal paths and circuits of graphs (context) - Erdos, Gallai - 1959
8   On linear time minor tests and depth first search - Bodlaender - 1989
6   Polynomial-time self reducibility: Theoretical motivations a.. (context) - Brown, Fellows et al. - 1989
6   Finding minimally weighted subgraphs (context) - Plehn, Voigt - 1990
6   the complexity of the subgraph problem (context) - Nesetril, Poljak - 1985
5   and subgraph multiplicity (context) - Eppstein, graph - 1992
5   Finding cycles of a given length (context) - Richards, Liestman - 1985
3   Finding short cycles in planar graphs using seperators (context) - Richards - 1986
2   Graph minors XVI (context) - Robertson, Seymour
1   st ACM Symp (context) - Fellows, Langston et al. - 1989

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