Article ID Journal Published Year Pages File Type
4650861 Discrete Mathematics 2008 6 Pages PDF
Abstract

Denote by P(v,k,1)P(v,k,1) a PkPk-design of order vv and block size k (every path has k   vertices and k-1k-1 edges). A P(v,k,1)P(v,k,1) having the property that every vertex meets the same number of paths [P. Hell, A. Rosa, Graph decompositions, handcuffed prisoners, and balanced PP-designs, Discrete Math. 2 (1972) 229–252] is called balanced. Denote by H(v,k,1)H(v,k,1) a balanced P(v,k,1)P(v,k,1).Let V⊂WV⊂W, |V|=v

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
, ,