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University of Illinois at Urbana-Champaign

The Total Interval Number of a Graph

Abstract

dc:description

An interval representation (or simply representation) R of a graph G is a collection of finite sets $\{R(\nu):\nu \in V(G)\}$ of closed bounded intervals so that $u \leftrightarrow \nu$ if and only if there exist θ\sb{u} \in R(u), θ\sb{\nu} \in R(\nu) with θ\sb{u} \cap θ\sb{\nu} \not= \emptyset. The size of a representation is the number of intervals in the entire collection.

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
2014

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Kratzke, Thomas Martin
Contributors dc:contributor
  • West, Douglas B.

Subjects

dc:subject × 2

Identifiers

dc:identifier.*
Identifier
(UMI)AAI8815372
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/71264

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

Kratzke, Thomas Martin. The Total Interval Number of a Graph. Dissertation thesis, University of Illinois at Urbana-Champaign, 2014. http://hdl.handle.net/2142/71264