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K-sparse graphs with applications to graph colorings and network reliability

Posted on:1992-01-29Degree:Ph.DType:Thesis
University:Stevens Institute of TechnologyCandidate:Khalifat, MohamedFull Text:PDF
GTID:2470390014499576Subject:Mathematics
Abstract/Summary:
This thesis introduces and studies a class of graphs called k-sparse graphs. A graph H is a minor of a graph G if H can be obtained from G by a sequence of edge deletions and edge contractions. A simple graph is a graph having no loops or multiple edges. A graph G is k-sparse if every simple minor of G, with k + 2 or more points, contains two non-adjacent points of degree ;The union of two graphs G...
Keywords/Search Tags:Graphs
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