Titlebook: Discrete Geometry, Combinatorics and Graph Theory; 7th China-Japan Conf Jin Akiyama,William Y. C. Chen,Qinglin Yu Conference proceedings 20

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Ebct207

lethargy

Zhiqiang Lu,Nathalie Bostel,Pierre Dejaxh properly rotating coordinate systems without increasing the number of orientation directions. We obtain the Steiner ratios with |.|?=?3 when rotation is allowed and some bounds of Steiner ratios for general case.

chronology

Sales and Operations Planning Optimisationhat it is a 2-connected graph being not a . if and only if .?∈?{10, 11, 14, 15, 16, 21, 22}. We also prove that, by discussing all the natural numbers except for 75 natural numbers, there are exactly 18 natural numbers, for each . of which, there exists a simple . graph on . vertices such that it is a 2-connected graph.

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Incompetent

Intrepid

endoscopy

An Implicit Weighted Degree Condition for Heavy Cycles in Weighted Graphs, .(.) to denote the implicit weighted degree of a vertex . in .. In this paper we prove that . contains either a Hamilton cycle or a cycle of weight at least ., if the following two conditions are satisfied: (1) max {. .(.), . .(.)}?≥?./2 for each pair of nonadjacent vertices . and . that are vertic

RLS898

On the Choice Numbers of Some Complete Multipartite Graphs,s. if it admits a list coloring for every list assignment . with |.(.)|?=?.. The . of . is the minimum . such that . is .-choosable. We generalize a result (of [4]) concerning the choice numbers of complete bipartite graphs and prove some uniqueness results concerning the list colorability of the co

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On Convex Quadrangulations of Point Sets on the Plane,ls such that their vertices are elements of .., and no element of .. lies in the interior of any quadrilateral. It is straightforward to see that if . admits a quadrilaterization, its convex hull must have an even number of vertices. In [6] it was proved that if the convex hull of .. has an even num