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West Virginia University

Degree sequences

Abstract

dc:description.abstract

A nonincreasing sequence pi = (d1, d2,···,dn) of nonnegative integers is said to be graphic if it is the degree sequence of a simple graph of order n and such graph is referred to as a realization of pi.;Let H be a simple graph. A graphic sequence pi is said to be potentially H-graphic if it has a realization G containing H as its subgraph.;In this paper, we characterize the potentially Ck graphic sequence for k = 3, 4, 5. These characterizations imply theorems due to P. Erdos, M. S. Jacobson and J. Lehel, R. J. Gould, M. S. Jacobson and J. Lehel and C. H. Lai.

Degree

thesis:*
Name thesis:degree_name
MS
Level thesis:degree_level
Thesis
Discipline thesis:degree_discipline
Lane Department of Computer Science and Electrical Engineering
Year dc:date.available
2002

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Luo, Rong
Contributors dc:contributor
  • Elaine M. Eschen.

Subjects

dc:subject × 1

Identifiers

dc:identifier.*
OAI identifier oai:identifier
oai:researchrepository.wvu.edu:etd-2238

Chain of custody

source
Harvested from
West Virginia University
Base URL
researchrepository.wvu.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Luo, Rong. Degree sequences. Thesis thesis, 2002. https://doi.org/10.33915/etd.1235