Given a collection of graphs H, an H¡decomposition of ¸Kv is a decomposition of the edges of ¸Kv into isomorphic copies of graphs in H. A kite is a triangle with a tail consisting of a single edge.In this paper we investigate the decomposition problem when H is the set containing a kite and a 4-cycle, that is; this paper gives a complete solution to the problem of decomposing ¸Kv into r kites and s 4-cycles for every admissible values of v, ¸, r and s.
Decomposition of λKv into kites and 4-cycles
MILICI, Salvatore
2017-01-01
Abstract
Given a collection of graphs H, an H¡decomposition of ¸Kv is a decomposition of the edges of ¸Kv into isomorphic copies of graphs in H. A kite is a triangle with a tail consisting of a single edge.In this paper we investigate the decomposition problem when H is the set containing a kite and a 4-cycle, that is; this paper gives a complete solution to the problem of decomposing ¸Kv into r kites and s 4-cycles for every admissible values of v, ¸, r and s.File in questo prodotto:
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