Graph covers using t-colourable vertex sets
نویسندگان
چکیده
منابع مشابه
Les cahiers du laboratoire Leibniz Graph covers using t-colourable vertex sets
A t-chrome cover is a cover of a weighted graph by vertex sets that induce t-colourable subgraphs. We investigate the problem of determining the minimal number of sets needed for such a cover, and give conditions under which this number is directly derived from the clique number and the maximum weight of the graph. The problem of minimal t-chrome covers is relevant to frequency assignment in ce...
متن کاملEdge dominating sets and vertex covers
Bipartite graphs with equal edge domination number and maximum matching cardinality are characterized. These two parameters are used to develop bounds on the vertex cover and total vertex cover numbers of graphs and a resulting chain of vertex covering, edge domination, and matching parameters is explored. In addition, the total vertex cover number is compared to the total domination number of ...
متن کاملReconfiguration of Vertex Covers in a Graph
Suppose that we are given two vertex covers C 0 and C t of a graph G, together with an integer threshold k ≥ max{|C 0 | , |C t |}. Then, the vertex cover reconfiguration problem is to determine whether there exists a sequence of vertex covers of G which transforms C 0 into C t such that each vertex cover in the sequence is of cardinality at most k and is obtained from the previous one by either...
متن کاملCell Segmentation Using Coupled Level Sets and Graph-Vertex Coloring
Current level-set based approaches for segmenting a large number of objects are computationally expensive since they require a unique level set per object (the N-level set paradigm), or [log2N] level sets when using a multiphase interface tracking formulation. Incorporating energy-based coupling constraints to control the topological interactions between level sets further increases the computa...
متن کاملKönig Deletion Sets and Vertex Covers above the Matching Size
A graph is König-Egerváry if the size of a minimum vertex cover equals the size of a maximum matching in the graph. We show that the problem of deleting at most k vertices to make a given graph König-Egerváry is fixedparameter tractable with respect to k. This is proved using interesting structural theorems on matchings and vertex covers which could be useful in other contexts. We also show an ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2004
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(03)00246-2