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发表于 2025-3-23 21:56:23 | 显示全部楼层
Bimodular Decomposition of Bipartite Graphs). It is shown how a unique decomposition tree represents the bimodular decomposition of a bipartite graph, with strong analogs with modular decomposition of graphs. An .(..) algorithm for this decomposition is provided. At least a classification of the 2-modules of a bipartite graph is given.
发表于 2025-3-24 00:51:16 | 显示全部楼层
Coloring a Graph Using Split Decompositionasses of graphs. In particular we present an .(...) algorithm to compute the chromatic number for all those graphs having a split decomposition in which every prime graph is an induced subgraph of either a .. or a . for some .≥ 3.
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https://doi.org/10.1007/978-94-010-3030-4s appearing in a neighborhood of a vertex can be completed into intervals such that these intervals are disjoint for adjacent vertices. We justify introduction of this notion by showing that use of these labelings provides good estimates for the span of the label space, and also provide a polynomial
发表于 2025-3-25 05:30:48 | 显示全部楼层
https://doi.org/10.1007/978-3-319-33282-6graph .=(.,.) ... if there is a system . of at most . spanning trees of . such that for any two vertices .,. of . a spanning tree . exists such that ..(.,.)≤ ..(.,.)+.. Among other results, we show that AT-free graphs have a system of two collective additive tree 2-spanners (whereas there are trapez
发表于 2025-3-25 10:02:26 | 显示全部楼层
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