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University of Illinois at Urbana-Champaign

Distance-Regular Graphs and Generalizations

Abstract

dc:description

A distance-transitive graph (GAMMA) is an undirected, locally finite graph where for any vertices u,v,x,y, (PAR-DIFF)(u,v) = (PAR-DIFF)(x,y) implies (sigma)u = x and (sigma)v = y for some automorphism (sigma) of (GAMMA). Distance-transitive graphs have certain combinatorial properties, which can be studied independently; a graph with these properties is called distance-regular.

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
  • Terwilliger, Paul M.

Subjects

dc:subject × 1

Identifiers

dc:identifier.*
Identifier
(UMI)AAI8218574
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/71204

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

Terwilliger, Paul M.. Distance-Regular Graphs and Generalizations. Dissertation thesis, University of Illinois at Urbana-Champaign, 2014. http://hdl.handle.net/2142/71204