Complexity of finding embeddings in a k-tree
SIAM Journal on Algebraic and Discrete Methods
Linear time algorithms for NP-hard problems restricted to partial k-trees
Discrete Applied Mathematics
On the complexity of finding iso- and other morphisms for partial k-trees
Discrete Mathematics - Topological, algebraical and combinatorial structures; Froli´k's memorial volume
A Linear-Time Algorithm for Finding Tree-Decompositions of Small Treewidth
SIAM Journal on Computing
Mean and maximum common subgraph of two graphs
Pattern Recognition Letters
Handbook of Theoretical Computer Science
Handbook of 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
A new approach and faster exact methods for the maximum common subgraph problem
COCOON'05 Proceedings of the 11th annual international conference on Computing and Combinatorics
MFCS'12 Proceedings of the 37th international conference on Mathematical Foundations of Computer Science
Maximum common induced subgraph parameterized by vertex cover
Information Processing Letters
Hi-index | 0.89 |
The maximum common subgraph problem is known to be NP-hard, although it has often been applied to various areas. In the field of molecular biology, we can reduce the problem space by analyzing the structures of chemical compounds. In doing so, we have found that the tree-width of chemical compounds are bounded by a constant, and that the possible spanning trees of any compound is polynomially bounded. We present a polynomial time algorithm for finding the maximum common connected induced subgraph of a degree-bounded partial k-tree and a connected graph, the number of whose possible spanning trees is polynomial.