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1,849 research outputs found
A Proof of a Conjecture of Ohba
Author
Alon
Borodin
+22Â more
Enomoto
Erdős
Galvin
Gravier
Gravier
Hall
Huang
Häggkvist
Kahn
Kierstead
Kostochka
Kostochka
KratochvÃl
Noel
Ohba
Ohba
Reed
Reed
Shen
Tuza
Vizing
Woodall
Publication venue
Publication date
01/01/2014
Field of study
Get PDF
We prove a conjecture of Ohba which says that every graph
G
G
G
on at most
2
χ
(
G
)
+
1
2\chi(G)+1
2
χ
(
G
)
+
1
vertices satisfies
χ
â„“
(
G
)
=
χ
(
G
)
\chi_\ell(G)=\chi(G)
χ
â„“
​
(
G
)
=
χ
(
G
)
.Comment: 21 page
arXiv.org e-Print Archive
CiteSeerX
Warwick Research Archives Portal Repository
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