GENERAL POSITION PROBLEM OF HEXAGONAL DERIVED NETWORKS

被引：0

作者：

Prabha, R. ^{[1
]}

Devi, S. Renukaa ^{[2
,3
]}

机构：

[1] Ethiraj Coll Women, Dept Math, Chennai, Tamil Nadu, India

[2] Univ Madras Chennai, Chennai, Tamil Nadu, India

[3] Avichi Coll Arts & Sci, Dept Math, Chennai, Tamil Nadu, India

来源：

ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES | 2021年 / 21卷 / 01期

关键词：

General position set; gp-number; hexagonal network; silicate network; oxide network;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a graph G, the general position problem aims to obtain a general position set S of maximum number of vertices in G, in which no three vertices lie on a same geodesic in G. Such a general position set is referred to as a gp-set of G. The gp-number of G, gp(G) denotes the cardinality of a gp-set S in G. In this paper, we solve the general position problem of hexagonal derived networks such as hexagonal, honeycomb, silicate and oxide networks and compute their general position numbers i.e., gp(G).

引用

页码：145 / 154

页数：10

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