Braggart 发表于 2025-3-21 16:57:40

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jocular 发表于 2025-3-21 23:00:18

,Extension Complexity of Stable Set Polytopes of Bipartite Graphs, bound, we show that . is ., which is an improvement when . has quadratically many edges. For the lower bound, we prove that . is . when . is the incidence graph of a finite projective plane. We also provide examples of 3-regular bipartite graphs . such that the edge vs stable set matrix of . has a fooling set of size |.(.)|.

不透气 发表于 2025-3-22 01:28:37

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表示向前 发表于 2025-3-22 05:29:46

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occult 发表于 2025-3-22 11:33:45

https://doi.org/10.1007/978-1-4471-0399-8rize the complexity of the recognition problems for the classes of outer segment, grounded segment, and ray intersection graphs. We prove that these recognition problems are complete for the existential theory of the reals. This holds even if a 1-string realization is given as additional input.

飞镖 发表于 2025-3-22 15:59:39

Hierarchical Partial Planarity,grees of importance. We give a polynomial-time testing algorithm when the graph induced by the two most important sets of edges is biconnected. We also discuss interesting relationships with other constrained-planarity problems.

飞镖 发表于 2025-3-22 17:38:50

Intersection Graphs of Rays and Grounded Segments,rize the complexity of the recognition problems for the classes of outer segment, grounded segment, and ray intersection graphs. We prove that these recognition problems are complete for the existential theory of the reals. This holds even if a 1-string realization is given as additional input.

tolerance 发表于 2025-3-22 22:47:45

https://doi.org/10.1007/978-3-030-92735-6 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.

foodstuff 发表于 2025-3-23 04:50:14

https://doi.org/10.1007/978-3-642-80530-1he 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.

极肥胖 发表于 2025-3-23 09:21:14

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