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楼主: Corticosteroids
发表于 2025-3-30 10:26:25 | 显示全部楼层
Modern Stereotactic Neurosurgeryaph Sandwich Problem as follows: the problem is NP-complete, if k+l > 2; the problem is polynomial otherwise. In addition, we consider the degree Δ constraint subproblem and completely classifies the problem as follows: the problem is polynomial, for k ≤2 or ⊆≤3; the problem is .-complete otherwise.
发表于 2025-3-30 15:29:48 | 显示全部楼层
DNA Sequencing, Eulerian Graphs, and the Exact Perfect Matching Problem, open for some time, and it remains open. What we prove is that this problem is polynomial time equivalent to the exact perfect matching problem in bipartite graphs, which is another infamous combinatorial optimization problem of unknown computational complexity.
发表于 2025-3-30 16:44:29 | 显示全部楼层
发表于 2025-3-30 22:40:02 | 显示全部楼层
More about Subcolorings,ms for 2-subcoloring of complements of planar graphs, and for .-subcoloring of interval and of permutation graphs. Moreover, we prove asymptotically best possible upper bounds on the subchromatic number of interval graphs, chordal graphs, and permutation graphs in terms of the number of vertices.
发表于 2025-3-31 01:15:05 | 显示全部楼层
On the Complexity of (,)-Graph Sandwich Problems,aph Sandwich Problem as follows: the problem is NP-complete, if k+l > 2; the problem is polynomial otherwise. In addition, we consider the degree Δ constraint subproblem and completely classifies the problem as follows: the problem is polynomial, for k ≤2 or ⊆≤3; the problem is .-complete otherwise.
发表于 2025-3-31 05:50:50 | 显示全部楼层
发表于 2025-3-31 11:49:33 | 显示全部楼层
Ton J. Cleophas,Aeilko H. Zwinderman for which the restrictive .-coloring problem is either NP-complete or polynomially solvable. Moreover, we prove that the same criterion discriminates the #P-complete and the polynomially solvable cases of the . #itH-coloring problem. Finally, we prove that both results apply also to the list versions of the above problems.
发表于 2025-3-31 16:13:31 | 显示全部楼层
https://doi.org/10.1007/978-3-030-37417-4ween any two nodes is at most the distance between the nodes in the graph plus two. This is complemented by a recent lower bound that shows that if the shortest paths and .(log .) bit addresses are required, every routing strategy for this class needs .(2. log(./2.)) bits per node.
发表于 2025-3-31 19:44:09 | 显示全部楼层
https://doi.org/10.1007/978-981-99-5720-0weighted treewidth, which generalise many of the existing reduction rules for treewidth. Experimental results show that these reduction rules can significantly reduce the problem size for several instances of real-life probabilistic networks.
发表于 2025-3-31 21:50:38 | 显示全部楼层
https://doi.org/10.34156/978-3-7910-6225-9s obtainable with the help of applying the well-known Lipton/Tarjan planar separator theorem, our new approach will lead to a .-algorithm, this way also improving on the direct use of the “best” known planar separator theorem. For several problems, the constants can be even improved more by analyzing other separator theorems.
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