THE GENERAL POSITION PROBLEM ON KNESER GRAPHS AND ON SOME GRAPH OPERATIONS

被引：22

作者：

Ghorbani, Modjtaba ^{[1
]}

Maimani, Hamid Reza ^{[1
]}

Momeni, Mostafa ^{[1
]}

Mahid, Farhad Rahimi ^{[1
]}

Klavzar, Sandi ^{[1
]}

Rus, Gregor ^{[1
]}

机构：

[1] Shahid Rajaee Teacher Training Univ, Dept Math, Fac Sci, Tehran 16785136, Iran

来源：

DISCUSSIONES MATHEMATICAE GRAPH THEORY | 2021年 / 41卷 / 04期

关键词：

general position set; Kneser graphs; Cartesian product of graphs; corona over graphs; line graphs; NO-3-IN-LINE PROBLEM;

D O I：

10.7151/dmgt.2269

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A vertex subset S of a graph G is a general position set of G if no vertex of S lies on a geodesic between two other vertices of S. The cardinality of a largest general position set of G is the general position number (gp-number) gp(G) of G. The gp-number is determined for some families of Kneser graphs, in particular for K(n, 2), n >= 4, and K(n, 3), n >= 9. A sharp lower bound on the gp-number is proved for Cartesian products of graphs. The gp-number is also determined for joins of graphs, coronas over graphs, and line graphs of complete graphs.

引用

页码：1199 / 1213

页数：15

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