ON A FINITE TOPOLOGICAL SPACE INDUCED BY HOP NEIGHBORHOODS OF A GRAPH

被引：9
|
作者：
Nianga, Caen Grace S. [1 ]
Canoy, Sergio R., Jr. [1 ]
机构：
[1] Mindanao State Univ, Iligan Inst Technol, Ctr Graph Theory Algebra & Anal PRISM, Dept Math & Stat,Coll Sci & Math, Iligan, Philippines
来源：
ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS | 2019年 / 21卷 / 01期
关键词：
graph; topology; base; indiscrete; discrete;
D O I：
10.17654/DM021010079
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a way of constructing a topology from a simple undirected graph by utilizing the hop neighborhoods of the graph. Under this construction of a topological space, we characterize those graphs which induce the indiscrete topology and the discrete topology. Moreover, we describe among others the topologies induced by the complete graph, the path, and the fan.
引用
收藏
页码：79 / 89
页数：11
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