Exploring pairwise compatibility graphs

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Pairwise Compatibility Graphs

Let T be an edge weighted tree, let dT (u, v) be the sum of the weights of the edges on the path from u to v in T , and let dmin and dmax be two non-negative real numbers such that dmin ≤ dmax. Then a pairwise compatibility graph of T for dmin and dmax is a graph G = (V, E), where each vertex u ∈ V corresponds to a leaf u of T and there is an edge (u, v) ∈ E if and only if dmin ≤ dT (u, v) ≤ dm...

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A graph G = (V, E) is a pairwise compatibility graph (PCG) if there exists an edgeweighted tree T and two nonnegative real numbers dmin and dmax such that each leaf u of T is a node of V and there is an edge (u, v) ∈ E if and only if dmin ≤ dT (u, v) ≤ dmax, where dT (u, v) is the sum of weights of the edges on the unique path from u to v in T . In this article, we survey the state of the art c...

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Given an edge weighted tree T and two non-negative real numbers dmin and dmax, a pairwise compatibility graph of T for dmin and dmax is a graph G = (V, E), where each vertex u ∈ V corresponds to a leaf u of T and there is an edge (u, v) ∈ E if and only if dmin ≤ dT (u, v) ≤ dmax in T . Here, dT (u, v) denotes the distance between u and v in T , which is the sum of the weights of the edges on th...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2013

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2012.11.015