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Titlebook: Combinatorial Mathematics VIII; Proceedings of the E Kevin L. McAvaney Conference proceedings 1981 Springer-Verlag Berlin Heidelberg 1981 L

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Katherine A. Duggan,Zlatan Križano that no two adjacent vertices in H′ are of the same colour. Then any two vertices in G are connected by a hamiltonian path if and only if G contains an edge joining two blue vertices and an edge joining two red vertices. This result enables us to characterize abelian group graphs G in whichany two vertices are connected by a hamiltonian path.
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Connected subgraphs of the graph of multigraphic realisations of a degree sequence, by taking any two vertices of ., say . and ., and finding a path between them which preserves any previously chosen edge of multiplicity . that occurs in both . and .. The construction of this path also establishes best possible upper and lower bounds on the length of the shortest path between any two vertices of ..
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Enumeration of binary phylogenetic trees,ree is meant one in which every point has degree 1 or 3. The exact and asymptotic numbers of binary phylogenetic trees are determined under the presence or absence of two additional conditions on the labelling. The optional constraints studied require nonempty label sets to be singletons, and that only endpoints be labelled.
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Lecture Notes in Mathematicshttp://image.papertrans.cn/c/image/229933.jpg
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