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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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Coverage Problem of Wireless Sensor Networks,ficient conditions respectively in the situations that the density function achieves its minimum value on a set with positive Lebesgue measure or at finitely many points. We propose also an economical scheme for the coverage of sensor networks with empirical distributions.
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The Decycling Number of Cubic Planar Graphs,nteger satisfying .. ≤ . ≤ ... We also find all corresponding integers .. and ... In addition, we prove that if . is the class of all connected cubic planar graphs of order 2. with decycling number . and ., then there exists a sequence of switchings .., .., ..., .. such that for every . = 1, 2, ..., . − 1, . and ..
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Benchmarking und empirische Ergebnissemplete (. + 1)-partite graph . .. Using these, we determine the choice numbers for some complete multipartite graphs . .. As a byproduct, we classify (i) completely those complete tripartite graphs . . and (ii) almost completely those complete bipartite graphs . . (for . ≤ 6) according to their choice numbers.
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https://doi.org/10.1007/978-3-540-92942-0btain sufficient conditions of Hall-type and Tutte-type for the existence of perfect heterochromatic matchings in colored bipartite graphs and general colored graphs. We also obtain a sufficient and necessary condition of Berge-type to verify if a heterochromatic matching . of . is maximum.
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Supply Chain Management Projects with APO] to . and to . respectively. In fact, in this paper we prove an upper bound of ., and with a long and unenlightening case analysis (over fifty cases!) we can improve the upper bound to ., for details see [9].
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Supply Chain Management with SAP APO™we must introduce other operations than cross-operation for transforming them by using only simple graphs. Then we naturally reach to a question: is there a sufficient set of operations for this purpose? For this problem, this paper shows a negative result that there is no such finite set of operations.
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