The general idea is to find a tree cover of a given graph and then split the tree into bounded size components such that all vertices of the tree cover are preserved in the process of splitting. The resulting forest is a solution of BCFC problem on the given graph.
Jan 26, 2023
scholar.google.com › citations
Feb 9, 2023 · In this paper, we study a variant of the graph covering problem using two special subgraphs. The first problem is called bounded component forest cover problem.
The objective of these problems is to minimize the size/cost of the collection of subgraphs. Covering graphs with the help of a set of edges, set of vertices, ...
Jun 30, 2024 · I think there is a simple solution to this. Let r be sufficiently large and partition V(G) (approximately) evenly into sets V1,V2,…,Vn/r.
Mar 31, 2017 · The biclique covering number bc(G) of a graph G is the smallest number of bicliques (complete bipartite subgraphs) of G such that every edge of ...
Missing: Bounded | Show results with:Bounded
We study the problem of finding a copy of a subgraph H in a graph G that is far from being free of having copies of H. We consider this problem in the ...
Let G be a tree and let H be a collection of subgraphs of G, each having at most d connected components. Let ν(H) denote the maximum number of members of H ...
Problems in red are graph covering problems, problems in blue are subgraph problems. 6. An independent set in line graph L(G) corresponds to a matching in G.
May 28, 2009 · We prove that, if a graph with edges contains vertex-disjoint edges, then complete bipartite subgraphs are necessary to cover all its edges.
A covering C of a graph G by its subgraphs is said to have an R-free transversal if it is possible to select distinct edges from elements of C such that the ...