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Even dicycles
Author(s) -
McCuaig William
Publication year - 2000
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 - 10.1002/1097-0118(200009)35:1<46::aid-jgt4>3.0.co;2-w
Subject(s) - digraph , conjecture , mathematics , combinatorics , graph , strongly connected component , discrete mathematics
We answer a question of Thomassen by proving that there is a unique strongly 2‐connected digraph with no even dicycle. We show the significance of this digraph to the structure of strongly connected digraphs with no even dicycles. We also prove a conjecture of Lundy. © 2000 John Wiley & Sons, Inc. J Graph Theory 35: 46–68, 2000