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Isomorphic factorizations of trees
Author(s) -
Heinrich Katherine,
Horak Peter
Publication year - 1995
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.3190190206
Subject(s) - mathematics , combinatorics , degree (music) , tree (set theory) , colored , monochromatic color , discrete mathematics , botany , physics , acoustics , composite material , biology , materials science
A tree is even if its edges can be colored in two colors so that the monochromatic subgraphs are isomorphic. All even trees of maximum degree 3 in which no two vertices of degrees 1 or 3 are adjacent are determined. It is also shown that, for every n , there are only finitely many trees of maximum degree 3 and with n vertices of degree 3 that are not even. © 1995 John Wiley & Sons, Inc.