Clique-width minimization is NP-hard
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Exact Algorithms for a Loading Problem with Bounded Clique Width
INFORMS Journal on Computing
Recent developments on graphs of bounded clique-width
Discrete Applied Mathematics
A Complete Characterisation of the Linear Clique-Width of Path Powers
TAMC '09 Proceedings of the 6th Annual Conference on Theory and Applications of Models of Computation
CSR'11 Proceedings of the 6th international conference on Computer science: theory and applications
Exploiting restricted linear structure to cope with the hardness of clique-width
TAMC'10 Proceedings of the 7th annual conference on Theory and Applications of Models of Computation
Polynomial-time recognition of clique-width ≤3 graphs
Discrete Applied Mathematics
Graph isomorphism for graph classes characterized by two forbidden induced subgraphs
WG'12 Proceedings of the 38th international conference on Graph-Theoretic Concepts in Computer Science
Note: The parametric complexity of graph diameter augmentation
Discrete Applied Mathematics
On atomic structure of P5-free subclasses and Maximum Weight Independent Set problem
Theoretical Computer Science
Hi-index | 0.00 |
The clique-width of graphs is a major new concept with respect to the efficiency of graph algorithms; it is known that every problem expressible in a certain kind of Monadic Second Order Logic called LinEMSOL(τ1,L) by Courcelle et al. is linear-time solvable on any graph class with bounded clique-width for which a k-expression for the input graph can be constructed in linear time. The notion of clique-width extends the one of treewidth since bounded treewidth implies bounded clique-width. We give a complete classification of all graph classes defined by forbidden one-vertex extensions of the P4 (i.e., the path with four vertices a,b,c,d and three edges ab,bc,cd) with respect to bounded clique-width. Our results extend and improve recent structural and complexity results in a systematic way.