Current Search: Brigham, Robert C. (x)


Title

Global domination of factors of a graph.

Creator

Carrington, Julie R., Brigham, Robert C., Arts and Sciences

Abstract / Description

University of Central Florida College of Arts and Sciences Thesis; A factoring of a graph G = (V,E) is a collection of spanning subgraphs F1, F2,..., Fk, known as factors into which the edge set E has been partitioned. A dominating set of a graph is a set of nodes such that every node in the graph is either contained in the set or has an edge to some node in the set. Each factor Fi is itself a graph and so has a dominating set. This set is called a local dominating set or LDS. An LDS of...
Show moreUniversity of Central Florida College of Arts and Sciences Thesis; A factoring of a graph G = (V,E) is a collection of spanning subgraphs F1, F2,..., Fk, known as factors into which the edge set E has been partitioned. A dominating set of a graph is a set of nodes such that every node in the graph is either contained in the set or has an edge to some node in the set. Each factor Fi is itself a graph and so has a dominating set. This set is called a local dominating set or LDS. An LDS of minimumsize contains (gamma)i nodes. In addition, there is some set of nodes named a global dominating set which dominates all of the factors. If a global dominating set is of a minimum size, it is called a GDS and contains (gamma) nodes. A central question answered by this dissertation is under what circummstances, given a set of integers (gamma)1, (gamma)2, ..., (gamma)k, and (gamma) there is a graph which can be factored into k factors in such a way that a minimum LDS of Fi has size (gamma)i, 1 [less than or equal to] i [less than or equal to] k, and GDS has size (gamma).
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Date Issued

1992

Identifier

CFR0001860, ucf:52916

Format

Document (PDF)

PURL

http://purl.flvc.org/ucf/fd/CFR0001860