Connected and Total Vertex covering in Graphs
نویسندگان
چکیده
منابع مشابه
Vertex Covers and Connected Vertex Covers in 3-connected Graphs
A vertex cover of a graph G=(V,E) is a subset N of V such that each element of E is incident upon some element of N, where V and E are the sets of vertices and of edges of G, respectively. A connected vertex cover of a graph G is a vertex cover of G such that the subgraph G[N] induced by N of G is connected. The minimum vertex cover problem (VCP) is the problem of finding a vertex cover of mini...
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Marathe, M.V., R. Ravi and C. Pandu Rangan, Generalized vertex covering in interval graphs. Discrete Applied Mathematics 39 (1992) 87-93. Given an integer i and an undirected graph G. the genera!ized i-verkx OFJPY pr&!z~ is to find a minimum set of vertices such that all chques in G of size i contain at least one vertex from this set. This problem is known to be NP-complete for chordal graphs w...
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A subgraph of a vertex-colored graph is said to be tropical whenever it contains each color of the graph. In this work we study the problem of finding a minimal connected tropical subgraph. We first show that this problem is NP-Hard for trees, interval graphs and split graphs, but polynomial when the number of colors is logarithmic in terms of the order of the graph (i.e. FPT). We then provide ...
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ژورنال
عنوان ژورنال: Turkish Journal of Computer and Mathematics Education (TURCOMAT)
سال: 2021
ISSN: 1309-4653
DOI: 10.17762/turcomat.v12i2.1901