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发表于 2025-3-28 15:00:17 | 显示全部楼层
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idth and sim-width, have the limitation that no algorithms are known to compute bounded-width decompositions in polynomial-time. To partially resolve this limitation, we introduce the parameter neighbor-depth. We show that given a graph of neighbor-depth ., independent set can be solved in time . ev
发表于 2025-3-29 07:08:01 | 显示全部楼层
https://doi.org/10.1057/9780230604841e definition - the graphs are mixed (they may have both directed and undirected edges), may have multiple edges, loops, and semi-edges. We show that a strong P/NP-co dichotomy holds true in the sense that for each such fixed target graph ., the .-. problem is either polynomial time solvable for arbi
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https://doi.org/10.1007/978-1-4614-6943-8zed by .-edge-crossing width. They were known to be W[1]-hard parameterized by tree-partition-width, and FPT parameterized by edge-cut width, and we close the complexity gap between these two parameters.
发表于 2025-3-29 14:33:34 | 显示全部楼层
https://doi.org/10.1007/978-3-319-28275-6s, a 2.445-approximation for perfect graphs, and a .-approximation for split graphs. To this end, we introduce a generic framework relying on a novel interpretation of BPC allowing us to solve the problem via . techniques. Our framework may find use in tackling BPC on other graph classes arising in
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,Computational Complexity of Covering Colored Mixed Multigraphs with Degree Partition Equivalence Cle definition - the graphs are mixed (they may have both directed and undirected edges), may have multiple edges, loops, and semi-edges. We show that a strong P/NP-co dichotomy holds true in the sense that for each such fixed target graph ., the .-. problem is either polynomial time solvable for arbi
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