2005 | OriginalPaper | Chapter
5-th Phylogenetic Root Construction for Strictly Chordal Graphs
Authors : William Kennedy, Guohui Lin
Published in: Algorithms and Computation
Publisher: Springer Berlin Heidelberg
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Reconstruction of an evolutionary history for a set of organisms is an important research subject in computational biology. One approach motivated by graph theory constructs a relationship graph based on pairwise evolutionary closeness. The approach builds a tree representation equivalent to this graph such that leaves, corresponding to the organisms, are within a specified distance of
k
in the tree if connected in the relationship graph. This problem, the
k
-th phylogenetic root construction, has known linear time algorithms for
k
≤ 4. However, the computational complexity is unknown when
k
≥ 5. We present a polynomial time algorithm for strictly chordal relationship graphs when
k
= 5.