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The multiplicity of 1‐factors in the square of a graph
Author(s) -
Hendry G. R. T.
Publication year - 1984
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.3190080308
Subject(s) - mathematics , combinatorics , graph , multiplicity (mathematics) , square (algebra) , discrete mathematics , geometry
Several authors have shown that if G is a connected graph of even order then its square G 2 has a 1‐factor. We show that the square of any connected graph of order 2 n has at least n 1‐factors and describe all the extremal graphs.