On the Connectivity of Token Graphs of Trees

被引：0

作者：

Fabila-Monroy, Ruy ^{[1
]}

Leanos, Jesus ^{[2
]}

Laura Trujillo-Negrete, Ana ^{[1
]}

机构：

[1] CINVESTAV, Dept Matemat, Cdmx, Mexico

[2] Univ Autonoma Zacatecas, Unidad Acad Matemat, Zacatecas, Zacatecas, Mexico

来源：

DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE | 2022年 / 24卷 / 01期

关键词：

token graphs; connectivity; trees;

D O I：

10.46298/dmtcs.7538

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Let k and n be integers such that 1 <= k <= n - 1, and let G be a simple graph of order n. The k-token graph F-k(G) of G is the graph whose vertices are the k-subsets of V (G), where two vertices are adjacent in F-k(G) whenever their symmetric difference is an edge of G. In this paper we show that if G is a tree, then the connectivity of F-k(G) is equal to the minimum degree of F-k(G).

引用

页数：23

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