We prove that the ISCPCS problem is NP-hard by a reduction from 3SAT.Secondly, we construct an equivalent free space diagram (grid graph) corresponding to the graph G in ISCPCS. In the special free space diagram, some cells can be passed, and some other cells can not be passed, and ...
planar 3SATplanar 3DMN P-completeness proofs/ C1160 Combinatorial mathematics C4240 Programming and algorithm theoryA restriction of the three-dimensional matching problem 3DM, in which the associated bipartite graph is planar, is shown to remain NP-complete. The restriction is inspired by that of ...
EveryprobleminNPreducestoSAT (satisfiabilityofBooleanformulas,a problemmotivatedbyformallogic). Inasense,SATisatleastashardasany probleminNP.ItisNP-hard. BeingalsoinNP,itisNP-complete. P=NPisthesamequestionaswhether SATisinP. TheRiseofNP-completeness ...
329-343). Like Planar 3SAT. Planar 3DM is principally a tool for use in NP-completeness proofs for planar restrictions of other problems. Several examples of its applications in this respect are given. 0 1986 Academic Press. Inc. 1. INTRODUCTION In a recent paper, Lichtenstein [5] showed ...
Hence, if there was a guaranteed way to minimize the error of the relevant family of structure from motion problems in polynomial time, the NP-complete problem 3SAT could be solved in polynomial time, which would imply that P=NP The proof relies heavily on results from both structure from ...
A linear-time algorithm, with respect to the size of the instance Boolean formula, is presented for the #SAT problem restricted to formulae of the form #2;... GD Ita,G Morales,EAD Ipn - 《Symposium on Combinatorial Optimization Brussels》 被引量: 1发表: 1997年 Clique is hard to approxi...
NP hardnessMinimum diameter color-spanning diskFind a min diameter subset of colored points containing al colors. This problem occurs in spatial databases. We show this problem to be NP-hard. We reduce it from 3SAT.doi:10.1016/j.ipl.2011.07.015Rudolf Fleischer...
Transforming 3SAT to Steiner problem in planar graph which is NP-completeComplexity theory has many facts. In this work, we propose an NP-completeness result for the Steiner problem in planar graphs.Nirmala, GSujatha, C