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Decomposition of snarks
Author(s) -
Cameron Peter J.,
Chetwynd Amanda G.,
Watkins John J.
Publication year - 1987
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.3190110104
Subject(s) - mathematics , combinatorics , cubic graph , chromatic scale , edge coloring , discrete mathematics , graph , graph power , line graph , voltage graph
There are several methods for constructing snarks (cubic graphs with chromatic index 4). We study the reverse process of splitting a snark into smaller snarks which compose it. We also introduce the notion of a “prime” snark.