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University of Illinois at Urbana-Champaign

Optimization on products of combinatorial structures

Abstract

dc:description

We consider optimization problems on combinatorial structures with a product form. The independence number of a graph G, denoted α (G), is the size of the largest independent set in G, where a subset S of the vertex set V(G) is independent if no two vertices in S are adjacent in G. The clique covering number of G, denoted $\Theta (G)$, is the minimum number of complete subgraphs required to cover the vertices of G.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Chappell, Glenn G.
Contributors dc:contributor
  • West, Douglas B.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • Copyright 1996 Chappell, Glenn G.
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
9780591197617
AAI9712220
(UMI)AAI9712220
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/22881

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Chappell, Glenn G.. Optimization on products of combinatorial structures. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/22881