Séminaire Lotharingien de Combinatoire, B76a (2016), 14 pp.

Simone Calamai and Elena Rubei

Treelike Quintet Systems

Abstract. We give a criterion to say if a system of trees P = {Ti}i with leaf sets L(Ti) in the 5-subsets of X can be amalgamated into a supertree, that is, if there exists a tree T with L(T) = X such that T restricted to L(Ti) is equal to Ti.

Received: June 24, 2016. Revised: October 2, 2016. Accepted: October 3, 2016.

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