BOOK THICKNESS OF A GRAPH

被引:231
作者
BERNHART, F
KAINEN, PC
机构
[1] UNIV WATERLOO,FAC MATH,DEPT COMBINATOR & OPTIMIZAT,WATERLOO N2L 3G1,ONTARIO,CANADA
[2] CASE WESTERN RESERVE UNIV,DEPT MATH & STAT,CLEVELAND,OH 44106
关键词
D O I
10.1016/0095-8956(79)90021-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The book thickness bt(G) of a graph G is defined, its basic properties are delineated, and relations are given with other invariants such as thickness, genus, and chromatic number. A graph G has book thickness bt(G) ≤ 2 if and only if it is a subgraph of a hamiltonian planar graph, but we conjecture that there are planar graphs with arbitrarily high book thickness. © 1979.
引用
收藏
页码:320 / 331
页数:12
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