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Packing almost stars into the complete graph
Author(s) -
Dobson Edward
Publication year - 1997
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/(sici)1097-0118(199706)25:2<169::aid-jgt9>3.0.co;2-k
Subject(s) - combinatorics , mathematics , conjecture , stars , graph , discrete mathematics , physics , astrophysics
We verify that the Tree Packing Conjecture is true for all sequences of trees T 1 , …, T n such that there exists χ i E V(T i ) and T i − χ i has at least $i-\,\sqrt{6(i-1)} / 4$ isolated vertices. © 1997 John Wiley & Sons, Inc. J Graph Theory 25: 169–172, 1997