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Some recent results in hamiltonian graphs
Author(s) -
LesniakFoster L.
Publication year - 1977
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.3190010109
Subject(s) - mathematics , hamiltonian path problem , hamiltonian (control theory) , hamiltonian path , combinatorics , indifference graph , graph , discrete mathematics , mathematical optimization
A variety of recent developments in hamiltonian theory are reviewed. In particular, several sufficient conditions for a graph to be hamiltonian, certain hamiltonian properties of line graphs, and various hamiltonian properties of powers of graphs are discussed. Furthermore, the concept of an n ‐distant hamiltonian graph is introduced and several theorems involving this special class of hamiltonian graphs are presented.