Domination in Knödel graphs

被引：0
|
作者：
Racicot J. [1 ]
Rosso G. [1 ]
机构：
[1] Concordia Univeristy, QC
来源：
Discrete Mathematics and Theoretical Computer Science | 2022年 / 24卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Domination; Gossiping problem; Knödel graph;
D O I：
10.46298/dmtcs.7158
中图分类号：
学科分类号：
摘要：
Given a graph G and an integer k, it is an NP-complete problem to decide whether G has a dominating set of size at most k. In this paper we study this problem for the Knödel Graph on n vertices using elementary number theory techniques. In particular, we show an explicit upper bound for the domination number of the Knödel Graph on n vertices any time that we can find a prime number p dividing n for which 2 is a primitive root. © 2022 by the author(s)
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