In this note we prove the conjecture of Wilfong, Haxell and Winkler (2001) that every bipartite multigraph with integer edge delays admits an edge colouring with d + 1 colours in the special case where d = 3. A connection to the Brualdi-Ryser-Stein conjecture is discussed.
机构:
Comenius Univ, Fac Math Phys & Informat, Dept Comp Sci, Bratislava 84248, SlovakiaComenius Univ, Fac Math Phys & Informat, Dept Comp Sci, Bratislava 84248, Slovakia
Mácajová, E
Skoviera, M
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Comenius Univ, Fac Math Phys & Informat, Dept Comp Sci, Bratislava 84248, SlovakiaComenius Univ, Fac Math Phys & Informat, Dept Comp Sci, Bratislava 84248, Slovakia
机构:
Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R ChinaNorthwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
Yao, Bing
Zhang, Zhong-fu
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Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
Lanzhou Jiaotong Univ, Inst Appl Math, Lanzhou 730070, Peoples R ChinaNorthwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
Zhang, Zhong-fu
Wang, Jian-fang
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Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R ChinaNorthwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
机构:
Univ Zielona Gora, Fac Math Comp Sci & Econometr, Ul Prof Z Szafrana 4a, PL-65516 Zielona Gora, PolandUniv Zielona Gora, Fac Math Comp Sci & Econometr, Ul Prof Z Szafrana 4a, PL-65516 Zielona Gora, Poland
Drgas-Burchardt, Ewa
Gibek, Katarzyna
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Univ Zielona Gora, Fac Math Comp Sci & Econometr, Ul Prof Z Szafrana 4a, PL-65516 Zielona Gora, PolandUniv Zielona Gora, Fac Math Comp Sci & Econometr, Ul Prof Z Szafrana 4a, PL-65516 Zielona Gora, Poland