Almost All Trees and Chemical Trees Have Equiseparable Mates
نویسندگان
چکیده
منابع مشابه
Almost All Trees have an Even Number of Independent Sets
This paper is devoted to the proof of the surprising fact that almost all trees have an even number of independent vertex subsets (in the sense that the proportion of those trees with an odd number of independent sets tends to 0 as the number of vertices approaches ∞) and to its generalisation to other moduli: for fixed m, the probability that a randomly chosen tree on n vertices has a number o...
متن کاملA NOTE ON THE EQUISEPARABLE TREES
Let T be a tree and n_{l}(eIT) and n_{2}(eIT) denote the number of vertices of T, lying on the two sides of the edge e. Suppose T_{l} and T_{2} are two trees with equal number of vertices, e in T_{1} and f in T_{2}. The edges e and f are said to be equiseparable if either n_{l}(eIT_{I}) = n_{l}(fIT_{2}) or n_{l}(eIT_{I}) = n_{2}(fIT_{2}). If there is an one-to-one correspondence between the ver...
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We consider the problem of determining all the members of an arbitrary family of equiseparable trees. We introduce the concept of saturation (based on the number partitions). After that, we use the same concept to obtain the least upper bound for the difference in the diameters of two equiseparable trees with m edges. We prove that this bound is equal to (m−4)/3, where m is the size of trees.
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A phylogenetic tree, also called an ‘‘evolutionary tree,’’ is a leaf-labeled tree which represents the evolutionary history for a set of species, and the construction of such trees is a fundamental problem in biology. Here we address the issue of how many sequence sites are required in order to recover the tree with high probability when the sites evolve under standard Markov-style i.i.d. mutat...
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ژورنال
عنوان ژورنال: Journal of Computer Chemistry, Japan
سال: 2004
ISSN: 1347-1767,1347-3824
DOI: 10.2477/jccj.3.109