Vol. 11, No. 4, 2018

Download this article
Download this article For screen
For printing
Recent Issues

Volume 13
Issue 3, 361–539
Issue 2, 181–360
Issue 1, 1–180

Volume 12, 8 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Author Index
Coming Soon
Other MSP Journals
This article is available for purchase or by subscription. See below.
Connectedness of two-sided group digraphs and graphs

Patreck Chikwanda, Cathy Kriloff, Yun Teck Lee, Taylor Sandow, Garrett Smith and Dmytro Yeroshkin

Vol. 11 (2018), No. 4, 679–699

Two-sided group digraphs and graphs, introduced by Iradmusa and Praeger, provide a generalization of Cayley digraphs and graphs in which arcs are determined by left and right multiplying by elements of two subsets of the group. We characterize when two-sided group digraphs and graphs are weakly and strongly connected and count connected components, using both an explicit elementary perspective and group actions. Our results and examples address four open problems posed by Iradmusa and Praeger that concern connectedness and valency. We pose five new open problems.

PDF Access Denied

However, your active subscription may be available on Project Euclid at

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 30.00:

two-sided group digraph, Cayley graph, group, connectivity
Mathematical Subject Classification 2010
Primary: 05C25
Secondary: 05C20, 05C40
Received: 26 May 2017
Revised: 26 July 2017
Accepted: 1 August 2017
Published: 15 January 2018

Communicated by Ann N. Trenk
Patreck Chikwanda
Department of Mathematics and Statistics
Georgia State University
Atlanta, GA
United States
Cathy Kriloff
Department of Mathematics and Statistics
Idaho State University
Pocatello, ID
United States
Yun Teck Lee
Idaho State University
Pocatello, ID
United States
Taylor Sandow
Idaho State University
Pocatello, ID
United States
Garrett Smith
Idaho State University
Pocatello, ID
United States
Dmytro Yeroshkin
Idaho State University
Pocatello, ID
United States