Detecting and Counting Small Pattern Graphs
Författare
Summary, in English
We study the induced subgraph isomorphism problem and the general subgraph isomorphism problem for small pattern graphs. We present a new general method for detecting induced subgraphs of a host graph isomorphic to a fixed pattern graph by reduction to polynomial testing for non-identity with zero over a field of finite characteristic. It yields new upper time bounds for several pattern graphs on five vertices and provides an alternative combinatorial method for the majority of pattern graphs on four and three vertices. Since our method avoids the large overhead of fast matrix multiplication, it can be of practical interest even for larger pattern graphs. Next, we derive new upper time bounds on counting the number of isomorphisms between a fixed pattern graph with an independent set of size s and a subgraph of the host graph. We also consider a weighted version of the counting problem, when one counts the number of isomorphisms between the pattern graph and lightest subgraphs, providing a slightly slower combinatorial algorithm.
Avdelning/ar
Publiceringsår
2013
Språk
Engelska
Sidor
547-557
Publikation/Tidskrift/Serie
Algorithms and Computation
Volym
8283
Dokumenttyp
Konferensbidrag
Förlag
Springer
Ämne
- Computer Science
- Mathematics
Conference name
24th International Symposium on Algorithms and Computation
Conference date
2013-12-16 - 2013-12-18
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0302-9743
- ISSN: 1611-3349