Triangle graphs and simple trapezoid graphs

被引：0

作者：

Lin, YL ^{[1
]}

机构：

[1] Providence Univ, Dept Comp Sci & Informat Management, Taichung 433, Taiwan

来源：

JOURNAL OF INFORMATION SCIENCE AND ENGINEERING | 2002年 / 18卷 / 03期

关键词：

triangle graphs; simple trapezoid graphs; parallelogram graphs; maximum clique; vertex coloring; maximum independent set; clique partition;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we present results on two subclasses of trapezoid graphs, including simple trapezoid graphs and triangle graphs (also known as PI graph in [3]). Simple trapezoid graphs and triangle graphs are proper subclasses of trapezoid graphs [3, 5]. Here we show that simple trapezoid graphs and triangle graphs are also two distinct subclasses of trapezoid graphs.

引用

页码：467 / 473

页数：7

共 50 条

[1] DOMINATIONS IN TRAPEZOID GRAPHS
LIANG, YD
[J]. INFORMATION PROCESSING LETTERS, 1994, 52 (06) : 309 - 315
[2] On the structure of trapezoid graphs
Cheah, F
Corneil, DG
[J]. DISCRETE APPLIED MATHEMATICS, 1996, 66 (02) : 109 - 133
[3] TRAPEZOID GRAPHS AND THEIR COLORING
DAGAN, I
GOLUMBIC, MC
PINTER, RY
[J]. DISCRETE APPLIED MATHEMATICS, 1988, 21 (01) : 35 - 46
[4] A recognition algorithm for simple-triangle graphs
Takaoka, Asahi
[J]. DISCRETE APPLIED MATHEMATICS, 2020, 282 : 196 - 207
[5] TRIANGLE GRAPHS
BENANTAR, M
DOGRUSOZ, U
FLAHERTY, JE
KRISHNAMOORTHY, MS
[J]. APPLIED NUMERICAL MATHEMATICS, 1995, 17 (02) : 85 - 96
[6] A vertex ordering characterization of simple-triangle graphs
Takaoka, Asahi
[J]. DISCRETE MATHEMATICS, 2018, 341 (12) : 3281 - 3287
[7] Dominating the complements of bounded tolerance graphs and the complements of trapezoid graphs
Keil, JM
Belleville, P
[J]. DISCRETE APPLIED MATHEMATICS, 2004, 140 (1-3) : 73 - 89
[8] Median graphs and triangle-free graphs
Imrich, W
Klavzar, S
Mulder, HM
[J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 1999, 12 (01) : 111 - 118
[9] Realizability of graphs as triangle cover contact graphs
Sultana, Shaheena
Rahman, Md. Saidur
[J]. THEORETICAL COMPUTER SCIENCE, 2018, 720 : 24 - 35
[10] Maximal outerplanar graphs as chordal graphs, path-neighborhood graphs, and triangle graphs
Laskar, R. C.
Mulder, Henry Martyn
Novick, B.
[J]. AUSTRALASIAN JOURNAL OF COMBINATORICS, 2012, 52 : 185 - 195

← 1 2 3 4 5 →