Worst-case relative performances of heuristics for the Steiner problem in graphs.
Plesník, Ján (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Plesník, Ján (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Ján Plesník (1981)
Mathematica Slovaca
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Charles Delorme (2010)
Open Mathematics
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The aim of this paper is to characterize the patterns of successive distances of leaves in plane trivalent trees, and give a very short characterization of their parity pattern. Besides, we count how many trees satisfy some given sequences of patterns.
Zoran Stanić (2006)
Publications de l'Institut Mathématique
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Singer, Dan (2001)
The Electronic Journal of Combinatorics [electronic only]
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Bohdan Zelinka (1982)
Časopis pro pěstování matematiky
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Damian Bogdanowicz, Krzysztof Giaro (2013)
International Journal of Applied Mathematics and Computer Science
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The Robinson-Foulds (RF) distance is the most popular method of evaluating the dissimilarity between phylogenetic trees. In this paper, we define and explore in detail properties of the Matching Cluster (MC) distance, which can be regarded as a refinement of the RF metric for rooted trees. Similarly to RF, MC operates on clusters of compared trees, but the distance evaluation is more complex. Using the graph theoretic approach based on a minimum-weight perfect matching in bipartite graphs,...
Wladis, Claire (2007)
The New York Journal of Mathematics [electronic only]
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Kuba, Markus, Wagner, Stephan (2010)
The Electronic Journal of Combinatorics [electronic only]
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Alain Guénoche, Bruno Leclerc (2001)
RAIRO - Operations Research - Recherche Opérationnelle
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A method to infer -trees (valued trees having as set of leaves) from incomplete distance arrays (where some entries are uncertain or unknown) is described. It allows us to build an unrooted tree using only 2-3 distance values between the elements of , if they fulfill some explicit conditions. This construction is based on the mapping between -tree and a weighted generalized 2-tree spanning .