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楼主: Braggart
发表于 2025-3-23 10:21:44 | 显示全部楼层
,Uniquely Restricted Matchings and Edge Colorings, can be partitioned. We provide tight upper bounds in terms of the maximum degree and characterize all extremal graphs. Our constructive proofs yield efficient algorithms to determine the corresponding edge colorings.
发表于 2025-3-23 15:38:30 | 显示全部楼层
Clique-Width and Well-Quasi-Ordering of Triangle-Free Graph Classes,he two stubborn cases, namely for the case . by proving that the class of .-free graphs has bounded clique-width and is well-quasi-ordered. Our technique is based on a special decomposition of 3-partite graphs. We also use this technique to completely determine which classes of .-free graphs are well-quasi-ordered.
发表于 2025-3-23 19:17:51 | 显示全部楼层
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https://doi.org/10.1007/978-3-319-71416-5direct consequence of the well-known formula for the number of labeled .-trees, while the lower bound is obtained from an explicit construction. It follows from this construction that both bounds also apply to graphs of pathwidth and proper-pathwidth at most ..
发表于 2025-3-24 14:08:00 | 显示全部楼层
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发表于 2025-3-24 23:43:46 | 显示全部楼层
Modern Methods in Analytical Morphologyfor recognizing .-graphs. For the dominating set problem (parameterized by the size of .), we give .- and .-time algorithms on .-graphs and .-graphs, respectively. Our dominating set algorithm for .-graphs also provides .-time algorithms for the independent set and independent dominating set problems on .-graphs.
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