[PDF] Top 20 Exact Polynomial time Algorithm for the Clique Problem and P = NP for Clique Problem
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Exact Polynomial time Algorithm for the Clique Problem and P = NP for Clique Problem
... the clique problem and presented “The Minimum Nil Sweeper Algorithm”, a deterministic polynomial time algorithm for the problem of finding the maximum clique in an ... See full document
5
Solving the Binary Linear Programming Model in Polynomial Time
... is NP-complete and up to now we have not been aware of any po- lynomial algorithm for this ...original problem BLP. This solves one of the famous open problems of whether P = NP or ... See full document
7
Solution of P versus NP problem
... Salesman Problem as our object, wishes to develop a constructive algorithm to prove ...Our algorithm is described as this process: initially, constructing a convex polygon that includes all points ... See full document
7
A Fast Color Based Branch and Bound Algorithm for Maximum Clique Problem
... A clique is a complete sub graph S of a given graph G, where all vertices presented in S are mutually adjacent to each ...a clique of a fixed size k is a well known NP-complete problem known ... See full document
6
The world of hereditary graph classes viewed through Truemper configurations
... largest clique or stable set are NP-hard in general, but become polynomially solvable when some configurations are ...remains NP-complete for triangle-free graphs with maximum degree 4 ...unless ... See full document
49
Finding Maximum Cliques on a Quantum Annealer
... maximum clique in a graph, one of the most fundamental and important NP-hard ...maximum clique problem as a quadratic unconstrained binary optimization (QUBO) problem, which is one of ... See full document
15
A new family of facet defining inequalities for the maximum edge weighted clique problem
... In this paper, we first consider a family of cutting planes that have recently been de- veloped by Djeumou Fomeni et al. [4] for the general mixed 0-1 polynomial programs, and which can be separated efficiently in ... See full document
8
Optimal content replication and request matching in large caching systems
... joint problem of content placement and request matching in a distributed network of content ...the problem in an optimization framework and showed that it is ...a polynomial- time greedy ... See full document
10
NPComplete
... • This means our current problem takes as long to solve as the existing NP-complete problem + the polynomial time reduction algorithm. • Non-polynomial time + polynomial time > pol[r] ... See full document
98
Hybrid Genetic Algorithm for Maximum Clique Problem
... In the above work, it has been again established that, applying the above technique results in the crafting of a set of solutions that provides almost certain answer to the problem. The Vertex Cover is an ... See full document
5
Fast Algorithm for the Travelling Salesman Problem and the Proof of P = NP
... salesman problem asks the following question: “Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city and returns to the origin city?” ... See full document
9
Inference And Learning: Computational Difficulty And Efficiency
... the problem. Faced with a new computational problem, one might try to reduce any of the “hard” problems to the new problem, and therefore claim that the new problem is as hard as the rest in ... See full document
242
A two level graph partitioning problem arising in mobile wireless communications
... separation algorithm is a routine that takes a solution of an LP relaxation as input, and searches for violated in- equalities in that family ...in polynomial time for the cycle inequalities (9) and ... See full document
21
Approximation and elections
... common problem since profit is rarely encoun- tered without a balancing weight which must be taken into ...decision problem, one does not always have a target profit, k, in mind, but rather would like to ... See full document
90
Fast separation for the three index assignment problem
... plane algorithm is separation, ...the time complexity of a separation algorithm in the number of variables ...separation algorithm may instead process the vector containing the positive ... See full document
20
Mind the gap: Balancing alliance network and technology portfolios during periods of technological uncertainty
... already well-embedded firms (Baum et al., 2003; Gulati & Garguilo, 1999; Powell et al., 2005). Here, we have demonstrated that firms also engage in the formation of ties with more distant partners beyond this set of ... See full document
39
Reducing Binary Quadratic Forms for More Scalable Quantum Annealing
... In Boros and Hammer (2001), optimization methods for quadratic pseudo-boolean functions, which are multi-linear polynomial functions of boolean variables, are considered. The authors analyze a variety of ... See full document
11
Collective Inference for Extraction MRFs Coupled with Symmetric Clique Potentials
... O(n) clique inference as compared to O(n log n) using α- ...make clique inference exponential in m (Potetz and Lee, ...Potential, exact messages can be computed in closed ... See full document
39
The chromatic sum of a graph: history and recent developments
... In 1984, Grötschel et al. [2] proved that finding chromatic number is solvable in poly- nomial time for perfect graphs. This result suggests that there may be some hope of constructing a polynomial ... See full document
11
Helly property, clique raphs, complementary graph classes, and sandwich problems
... of clique graphs because the Helly property for a family of subsets can be tested in polynomial time on the size of the family [2, 16, ...recognizing clique graphs was recently shown to be N ... See full document
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