Article ID Journal Published Year Pages File Type
4655679 Journal of Combinatorial Theory, Series A 2010 9 Pages PDF
Abstract

Let f(n;C4) be the smallest integer such that, given any set of edge disjoint quadrilaterals on n vertices, one can extend it into a complete quadrilateral decomposition by including at most f(n;C4) additional vertices. It is known, and it is easy to show, that . Here we settle the longstanding problem that .

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics