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发表于 2025-3-23 13:30:14 | 显示全部楼层
Algorithms for some intersection graphs,Several intersection graphs such as curves-in-the-plane graphs, circular-arc graphs, chordal graphs and interval graphs are reviewed, especially on their recognition algorithms. In this connection graph realization problem is mentioned.
发表于 2025-3-23 17:02:42 | 显示全部楼层
发表于 2025-3-23 21:28:17 | 显示全部楼层
The two disjoint path problem and wire routing design,A new polynomial time algorithm is presented for finding two vertex-disjoint paths between two specified pairs of vertices on an undirected graph. An application of the two disjoint path algorithm to the automatic wire routing is also discussed.
发表于 2025-3-24 00:38:51 | 显示全部楼层
发表于 2025-3-24 04:20:25 | 显示全部楼层
发表于 2025-3-24 08:24:35 | 显示全部楼层
发表于 2025-3-24 13:42:26 | 显示全部楼层
https://doi.org/10.1007/978-3-658-45025-0alities concentrate in the "dual graph", wherefrom confusion is sometimes given rise to. The importance is illustrated by "new" theorems and concepts which are derived by understanding correctly the difference of the concepts.
发表于 2025-3-24 18:29:39 | 显示全部楼层
https://doi.org/10.1007/978-94-011-2759-2s of central trees have been clarified. In this paper, in connection with the critical sets of the edge set of a graph, some new theorems on central trees of the graph are presented. Also, a few examples are included to illustrate the applications of these theorems.
发表于 2025-3-24 21:05:42 | 显示全部楼层
https://doi.org/10.1007/978-3-658-37708-3s for characterizing the polyhex graphs are described and discussed, including the topological index, characteristic polynomial, sextet polvnomial, etc. Enumeration of the number of the maximum matching (or Kekulé patterns) is also discussed.
发表于 2025-3-25 00:00:34 | 显示全部楼层
On the layering problem of multilayer PWB wiring, the special case of street capacities up to two in each layer, and it is reduced to a problem of the interval graph by relaxing some restrictions in the original problem. Then, a heuristic algorithm is proposed for this problem.
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