Let G be a k-connected graph and X be a set of k vertices of G, k > 2 Then G contains a cycle C which contains every vertex of X In this paper we prove the
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[PDF] k-Partite Graphs as Contexts - Archive ouverte HAL
19 fév 2018 · focus on the case of k-partitioned graphs with k > 2 2 i e a set of graph vertices decomposed into n disjoint sets such that no two graph
Note On the k-diameter of k-regular k-connected graphs
(Here and below a graph always means a simple, undirected graph without loops and multiple edges ) Let Pk(u,v) be a family of k vertex disjoint paths between u
[PDF] K -factors in graphs - EMIS
Let K− e denote the graph obtained from Ke by deleting one edge We show Given two graphs H and G, an H-packing in G is a collection of vertex-disjoint
[PDF] 2-Linked Graphs - CORE
INTRODUCTION Let Z = (xh x2, • • , Xk, Yh y2, •• • , Yk) be an ordered set of distinct vertices of a graph G A Z-linkage of G is a set of k pairwise disjoint paths P1
[PDF] Cycles and Paths through Specified Vertices in k-Connected Graphs
Let G be a k-connected graph and X be a set of k vertices of G, k > 2 Then G contains a cycle C which contains every vertex of X In this paper we prove the
[PDF] Building Large k-Cores from Sparse Graphs - DROPS - Schloss
Edge k-Core is fixed-parameter tractable (FPT) when parameterized by the minimum size of a vertex cover in the input graph On the other hand, with such
Graph Clustering Using Distance-k Cliques
Identifying the natural clusters of nodes in a graph and trea- ting them as supernodes distance-k cliques, a generalization of the idea of the cliques in graphs
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