Skip Navigation

The Computer Journal 1988 31(1):71-75; doi:10.1093/comjnl/31.1.71
© 1988 by British Computer Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (9)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Miller, M.
Right arrow Articles by Fris, I.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Minimum Diameter of Diregular Digraphs of Degree 2*

M. Miller § and I. Fris §

Department of Mathematics, Statistics and Computing Science, University of New England, Armidale, Australia

In this paper we study some relationships between the number of vertices, degree and diameter of finite diregular graphs. The three problems considered are N(d,k), K(n,d) and D(n,k); that is, find the maximum possible number of vertices given degree d and diameter k, find the minimum possible diameter given the number of vertices n and degree d, and find the minimum possible degree given the number of vertices n and diameter k respectively. These three problems are related but as far as we know not equivalent. In this paper we restrict our attention to digraphs of degree 2. Using new techniques we improve upon the bounds for N(d,k) and K(n,d) in the case of d = 2. The current state of knowledge of N(2,k) and K(n,2) (n≤100) is given in Tables 1 and 2. The paper concludes with eight open problems in the area.

Received July 1986. revised December 1986.

* This paper is a revised and expanded version of our contribution at the ninth Australian Computer Science Conference in Canberra, January 1986.

§ Department of Mathematics, Statistics and Computing Science, University of New England, Armidale, Australia


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.