Search Results - "NISHIZEKI, Takao"
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Bandwidth consecutive multicolorings of graphs
Published in Theoretical computer science (01-05-2014)“…Let G be a simple graph in which each vertex v has a positive integer weight b(v) and each edge (v, w) has a nonnegative integer weight b(v, w). A bandwidth…”
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Partitioning a graph of bounded tree-width to connected subgraphs of almost uniform size
Published in Journal of discrete algorithms (Amsterdam, Netherlands) (01-03-2006)“…Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wishes to partition G into…”
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Algorithms for finding distance-edge-colorings of graphs
Published in Journal of discrete algorithms (Amsterdam, Netherlands) (01-06-2007)“…For a bounded integer ℓ, we wish to color all edges of a graph G so that any two edges within distance ℓ have different colors. Such a coloring is called a…”
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Orthogonal Drawings of Plane Graphs Without Bends
Published in Journal of graph algorithms and applications (2003)Get full text
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Multicolorings of series-parallel graphs
Published in Algorithmica (01-02-2004)“…Let G be a graph, and let each vertex v of G have a positive integer weight ω(v). A multicoloring of G is to assign each vertex v a set of ω(v) colors so that…”
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Conference Proceeding Journal Article -
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Efficient approximation algorithms for bandwidth consecutive multicolorings of graphs
Published in Theoretical computer science (23-11-2015)“…Let G be a graph in which each vertex v has a positive integer weight b(v) and each edge (v,w) has a nonnegative integer weight b(v,w). A bandwidth consecutive…”
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List total colorings of series-parallel graphs
Published in Journal of discrete algorithms (Amsterdam, Netherlands) (01-03-2005)“…A total coloring of a graph G is a coloring of all elements of G, i.e., vertices and edges, in such a way that no two adjacent or incident elements receive the…”
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Characterization of optimal key set protocols
Published in Discrete Applied Mathematics (06-09-2003)“…Using a random deal of cards to players and a computationally unlimited eavesdropper, all players wish to share a common one-bit secret key which is…”
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Journal Article Conference Proceeding -
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Parametric power supply networks
Published in Journal of combinatorial optimization (01-01-2015)“…Suppose that each vertex of a graph G is either a supply vertex or a demand vertex and is assigned a supply or a demand. All demands and supplies are…”
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Algorithm for the cost edge-coloring of trees
Published in Journal of combinatorial optimization (01-03-2004)Get full text
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Rectangular drawings of plane graphs without designated corners
Published in Computational geometry : theory and applications (01-03-2002)“…This paper addresses the problem of finding rectangular drawings of plane graphs, in which each vertex is drawn as a point, each edge is drawn as a horizontal…”
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A linear-time algorithm for four-partitioning four-connected planar graphs
Published in Information processing letters (27-06-1997)“…Given a graph G = ( V, E), four distinct vertices u 1, u 2, u 3, u 4 ϵ V and four natural numbers n 1, n 2, n 3, n 4 such that ∑ i = 1 4 ni = ¦V¦ , we wish to…”
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Size–energy tradeoffs for unate circuits computing symmetric Boolean functions
Published in Theoretical computer science (04-03-2011)“…A unate gate is a logical gate computing a unate Boolean function, which is monotone in each variable. Examples of unate gates are AND gates, OR gates, NOT…”
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Finding a noncrossing Steiner forest in plane graphs under a 2-face condition
Published in Journal of combinatorial optimization (2001)Get full text
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Energy and depth of threshold circuits
Published in Theoretical computer science (25-10-2010)“…In this paper we show that there is a close relationship between the energy complexity and the depth of threshold circuits computing any Boolean function…”
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Minimum Cost Partitions of Trees with Supply and Demand
Published in Algorithmica (01-11-2012)“…Let T be a given tree. Each vertex of T is either a supply vertex or a demand vertex, and is assigned a positive integer, called the supply or the demand…”
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Open Rectangle-of-Influence Drawings of Inner Triangulated Plane Graphs
Published in Discrete & computational geometry (01-06-2009)“…A straight-line drawing of a plane graph is called an open rectangle-of-influence drawing if there is no vertex in the proper inside of the axis-parallel…”
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Minimum Cost Partitions of Trees with Supply and Demand: Algorithms and Computation
Published in Algorithmica (2012)Get full text
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Partitioning a Weighted Tree into Subtrees with Weights in a Given Range
Published in Algorithmica (01-04-2012)“…Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are given integers such that 0≤ l ≤ u . One wishes to partition…”
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Small grid drawings of planar graphs with balanced partition
Published in Journal of combinatorial optimization (01-08-2012)“…In a grid drawing of a planar graph, every vertex is located at a grid point, and every edge is drawn as a straight-line segment without any edge-intersection…”
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Journal Article Conference Proceeding