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Exponentially many 5-list-colorings of planar graphs
被引:19
作者
:
Thomassen, Carsten
论文数:
0
引用数:
0
h-index:
0
机构:
Tech Univ Denmark, Dept Math, DK-2800 Lyngby, Denmark
Tech Univ Denmark, Dept Math, DK-2800 Lyngby, Denmark
Thomassen, Carsten
[
1
]
机构
:
[1]
Tech Univ Denmark, Dept Math, DK-2800 Lyngby, Denmark
来源
:
JOURNAL OF COMBINATORIAL THEORY SERIES B
|
2007年
/ 97卷
/ 04期
关键词
:
list colorings;
D O I
:
10.1016/j.jctb.2006.09.002
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We prove that every planar graph with n vertices has at least 2(n/9) distinct list-colorings provided every vertex has at least five available colors. (C) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:571 / 583
页数:13
相关论文
共 7 条
[1]
[Anonymous], GRAPHS SURFACES
[2]
CHROMATIC POLYNOMIALS
[J].
BIRKHOFF, GD
论文数:
0
引用数:
0
h-index:
0
BIRKHOFF, GD
;
LEWIS, DC
论文数:
0
引用数:
0
h-index:
0
LEWIS, DC
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1946,
60
(NOV)
:355
-451
[3]
EVERY PLANAR GRAPH IS 5-CHOOSABLE
[J].
THOMASSEN, C
论文数:
0
引用数:
0
h-index:
0
机构:
Mathematical Institute, Technical University of Denmark
THOMASSEN, C
.
JOURNAL OF COMBINATORIAL THEORY SERIES B,
1994,
62
(01)
:180
-181
[4]
Color-critical graphs on a fixed surface
[J].
Thomassen, C
论文数:
0
引用数:
0
h-index:
0
机构:
Mathematical Institute, Technical University of Denmark
Thomassen, C
.
JOURNAL OF COMBINATORIAL THEORY SERIES B,
1997,
70
(01)
:67
-100
[5]
THOMASSEN C, IN PRESS DISCRETE MA
[6]
Many 3-colorings of triangle-free planar graphs
[J].
Thomassen, Carsten
论文数:
0
引用数:
0
h-index:
0
机构:
Tech Univ Denmark, Dept Math, DK-2800 Lyngby, Denmark
Tech Univ Denmark, Dept Math, DK-2800 Lyngby, Denmark
Thomassen, Carsten
.
JOURNAL OF COMBINATORIAL THEORY SERIES B,
2007,
97
(03)
:334
-349
[7]
LIST COLORINGS OF PLANAR GRAPHS
[J].
VOIGT, M
论文数:
0
引用数:
0
h-index:
0
机构:
Institut für Mathematik, TU Ilmenau
VOIGT, M
.
DISCRETE MATHEMATICS,
1993,
120
(1-3)
:215
-219
←
1
→
共 7 条
[1]
[Anonymous], GRAPHS SURFACES
[2]
CHROMATIC POLYNOMIALS
[J].
BIRKHOFF, GD
论文数:
0
引用数:
0
h-index:
0
BIRKHOFF, GD
;
LEWIS, DC
论文数:
0
引用数:
0
h-index:
0
LEWIS, DC
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1946,
60
(NOV)
:355
-451
[3]
EVERY PLANAR GRAPH IS 5-CHOOSABLE
[J].
THOMASSEN, C
论文数:
0
引用数:
0
h-index:
0
机构:
Mathematical Institute, Technical University of Denmark
THOMASSEN, C
.
JOURNAL OF COMBINATORIAL THEORY SERIES B,
1994,
62
(01)
:180
-181
[4]
Color-critical graphs on a fixed surface
[J].
Thomassen, C
论文数:
0
引用数:
0
h-index:
0
机构:
Mathematical Institute, Technical University of Denmark
Thomassen, C
.
JOURNAL OF COMBINATORIAL THEORY SERIES B,
1997,
70
(01)
:67
-100
[5]
THOMASSEN C, IN PRESS DISCRETE MA
[6]
Many 3-colorings of triangle-free planar graphs
[J].
Thomassen, Carsten
论文数:
0
引用数:
0
h-index:
0
机构:
Tech Univ Denmark, Dept Math, DK-2800 Lyngby, Denmark
Tech Univ Denmark, Dept Math, DK-2800 Lyngby, Denmark
Thomassen, Carsten
.
JOURNAL OF COMBINATORIAL THEORY SERIES B,
2007,
97
(03)
:334
-349
[7]
LIST COLORINGS OF PLANAR GRAPHS
[J].
VOIGT, M
论文数:
0
引用数:
0
h-index:
0
机构:
Institut für Mathematik, TU Ilmenau
VOIGT, M
.
DISCRETE MATHEMATICS,
1993,
120
(1-3)
:215
-219
←
1
→