Titlebook: ;

colloquial

闡明

石墨

Generalized Graph Clustering: Recognizing (,,,)-Cluster Graphsion of cliques, i.e, clusters. As pointed out in a number of recent papers, the cluster editing model is too rigid to capture common features of real data sets. Several generalizations have thereby been proposed. In this paper, we introduce (.,.)-cluster graphs, where each cluster misses at most . e

boisterous

Colouring Vertices of Triangle-Free Graphsh . which is not a forest. We study the computational complexity of the problem in (.., .)-free graphs with . being a forest. From known results it follows that for any forest . on 5 vertices the . problem is polynomial-time solvable in the class of (.., .)-free graphs. In the present paper, we show

現(xiàn)實

A Quartic Kernel for Pathwidth-One Vertex Deletionost . vertices in . whose deletion results in a graph of pathwidth at most one is NP-Complete. We initiate the study of the parameterized complexity of this problem, parameterized by .. We show that the problem has a quartic vertex-kernel: We show that, given an input instance (.?=?(.,.),.);|.|?=?.,

暗語

處理

https://doi.org/10.1007/978-3-662-25310-6ything closed under deletion and contraction). In recent years, this theory has been extended and generalized to apply to many algorithmic problems. Bidimensionality theory is one approach to algorithmic graph minor theory. This theory provides general tools for designing fast (constructive, often s

consolidate

Colonnade

中止

https://doi.org/10.1007/978-3-663-04349-2complete on general graphs and, in fact, on every class of graphs that the Hamiltonian path problem is NP-complete. Polynomial solutions for the longest path problem have recently been proposed for weighted trees, ptolemaic graphs, bipartite permutation graphs, interval graphs, and some small classe