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发表于 2025-3-28 18:23:46 | 显示全部楼层
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Cyclewidth and the Grid Theorem for Perfect Matching Width of Bipartite Graphs,ranch decomposition. It was introduced by Norine and intended as a tool for the structural study of matching covered graphs, especially in the context of Pfaffian orientations. Norine conjectured that graphs of high perfect matching width contain a large grid as a matching minor, similar to the resu
发表于 2025-3-29 00:47:43 | 显示全部楼层
Local Approximation of the Maximum Cut in Regular Graphs,g each vertex choose its side of the cut uniformly at random. This does not require any communication and achieves an approximation ratio of at least . in average. When the graph is .-regular and triangle-free, a slightly better approximation ratio can be achieved with a randomized algorithm running
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A Turing Kernelization Dichotomy for Structural Parameterizations of ,-Minor-Free Deletion,st . such that . is .-minor-free. For . and . this encodes . and . respectively. When parameterized by the feedback vertex number of . these two problems are known to admit a polynomial kernelization. Such a polynomial kernelization also exists for any . containing a planar graph but no forests..In
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Graph Functionality,acy or clique-width, in the sense that bounded degeneracy or bounded clique-width imply bounded functionality. Moreover, we show that this generalization is proper by revealing classes of graphs of unbounded degeneracy and clique-width, where functionality is bounded by a constant. We also prove tha
发表于 2025-3-29 21:49:52 | 显示全部楼层
On Happy Colorings, Cuts, and Structural Parameterizations,cond problem gives a natural generalization of ., which is the complement of the classical . problem. Due to their fundamental role in theory and practice, clusterization and cut problems has always attracted a lot of attention. We establish a new connection between these two classes of problems by
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