Subgraph isomorphism for biconnected outerplanar graphs in cubic time
Theoretical Computer Science
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
On the Approximability of the Maximum Common Subgraph Problem
STACS '92 Proceedings of the 9th Annual Symposium on Theoretical Aspects of Computer Science
Information Processing Letters
Frequent subgraph mining in outerplanar graphs
Proceedings of the 12th ACM SIGKDD international conference on Knowledge discovery and data mining
Subgraph isomorphism, log-bounded fragmentation, and graphs of (locally) bounded treewidth
Journal of Computer and System Sciences
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This paper considers the maximum common subgraph problem, which is to find a connected graph with the maximum number of edges that is isomorphic to a subgraph of each of the two input graphs. This paper presents a dynamic programming algorithm for computing the maximum common subgraph of two outerplanar graphs whose maximum vertex degree is bounded by a constant, where it is known that the problem is NP-hard even for outerplanar graphs of unbounded degree. Although the algorithm repeatedly modifies input graphs, it is shown that the number of relevant subproblems is polynomially bounded and thus the algorithm works in polynomial time.