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发表于 2025-3-23 10:28:10 | 显示全部楼层
On Minimum Diameter Spanning Trees under Reload Costs,pending on the colors of the pair of edges used by a walk through the node..In this paper we consider the problem of finding a spanning tree of minimum diameter with respect to the underlying reload costs. We present hardness results and lower bounds for the approximability even on graphs with maxim
发表于 2025-3-23 16:42:36 | 显示全部楼层
Induced Matchings in Regular Graphs and Trees,s in a regular graph of degree . can be approximated with a performance ratio less than .. However MIM is NP-hard to approximate within some constant . > 1 even if the input is restricted to various classes of bounded degree and regular graphs. Finally we describe a simple algorithm providing a line
发表于 2025-3-23 22:06:33 | 显示全部楼层
Mod-2 Independence and Domination in Graphs,n number of arcs into the subset. This algorithm allows us to give a combinatorial interpretation of Gauss-Jordan and Gauss elimination on square boolean matrices. In addition to solving this independence-mod-2 (even) set existence problem we also give efficient algorithms for related domination-mod
发表于 2025-3-23 22:35:50 | 显示全部楼层
NLC2-Decomposition in Polynomial Time,ertices using the operations in question. The width of the decomposition is the number of labels used, and the NLC-width of the graph is the smallest width among its NLC-decompositions. Many difficult graph problems can be solved efficiently with dynamic programming if an NLC-decomposition of low wi
发表于 2025-3-24 03:16:22 | 显示全部楼层
发表于 2025-3-24 09:03:48 | 显示全部楼层
发表于 2025-3-24 14:37:20 | 显示全部楼层
发表于 2025-3-24 18:21:01 | 显示全部楼层
发表于 2025-3-24 22:49:37 | 显示全部楼层
发表于 2025-3-25 01:12:19 | 显示全部楼层
Routing Permutations in the Hypercube,Using the computer, we show that for . . and for any permutation on its vertices, there exists a system of pairwise arc-disjoint directed paths from each vertex to its target in the permutation. This gives the answer to Szymanski’s conjecture [.] for dimension 4. In addition to this study, we consid
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