Vol. 37, No. 1, 1971

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 325: 1
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
B-sets and planar maps

Sherman K. Stein

Vol. 37 (1971), No. 1, 217–224
Abstract

In this paper we examine the relation between B-sets, which are a purely set-theoretic concept, and various concepts associated with planar maps, for instance, four-colorings, five-colorings, Hamiltonian circuits, and Petersen’s theorem. Moreover, the introduction of the notion of a B-set into graph theory enables us to ask questions which may be more tractable than the four-color conjecture and shed light on it.

Mathematical Subject Classification 2000
Primary: 05C99
Milestones
Received: 2 March 1970
Revised: 28 August 1970
Published: 1 April 1971
Authors
Sherman K. Stein