Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Cycle polynomials

Author: F. K. Hwang
Journal: Proc. Amer. Math. Soc. 83 (1981), 215-219
MSC: Primary 05C30; Secondary 05C38
MathSciNet review: 620017
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ G$ be a graph consisting of $ m$ vertex-disjoint cycles with possibly different numbers of vertices on each cycle. We want to count the number of ways of selecting $ k$ vertices in $ G$ such that there are exactly $ l$ edges spanned by these $ k$ vertices. For $ m = 1$, the problem is equivalent to the Whitworth bracelet problem with two colors and a closed-form solution is known. In this paper we show that the solution for the many-cycle case can be written as a sum of the solutions for single-cycle cases.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 05C30, 05C38

Retrieve articles in all journals with MSC: 05C30, 05C38

Additional Information

Keywords: Whitworth runs, Jablonski runs, Whitworth bracelet problem
Article copyright: © Copyright 1981 American Mathematical Society

American Mathematical Society