arXiv subjects
Publications and source records attributed to Pawan Tamta.
The Clique Problem has a reduction to the Maximum Flow Network Interdiction Problem. We review the reduction to evolve a polynomial time algorithm for the Clique Problem. A computer program in C language has been written to validate the easiness of the algorithm.
Maximum Flow Network Interdiction Problem (MFNIP) is known to be strongly NP-hard problem. We solve a simple form of MFNIP in polynomial time. We review the reduction of MFNIP from the clique problem. We propose a polynomial time solution to the Clique Problem.
A language independent stemmer has always been looked for. Single N-gram tokenization technique works well, however, it often generates stems that start with intermediate characters, rather than initial ones. We present a novel technique that takes the concept of N gram stemming one step ahead and compare our method with an established algorithm in the field, Porter's Stemmer. Results indicate that our N gram stemmer is not inferior to Porter's linguistic stemmer.
Stemming or suffix stripping, an important part of the modern Information Retrieval systems, is to find the root word (stem) out of a given cluster of words. Existing algorithms targeting this problem have been developed in a haphazard manner. In this work, we model this problem as an optimization problem. An Integer Program is being developed to overcome the shortcomings of the existing approaches. The sample results of the proposed method are also being compared with an established technique in the field for English language. An AMPL code for the same IP has also been given.
Cardinality Maximum Flow Network Interdiction Problem (CMFNIP) is known to be strongly NP-hard problem in the literature. A particular case of CMFNIP has been shown to have reduction from clique problem. In the present work,an effort is being made to solve this particular case of CMFNIP in polynomial time. Direct implication of this solution is that the clique problem gets solved in polynomial time. 3-CNF Satisfiability and Vertex Cover problems, having reductions to and from the Clique Problem respectively, are also being solved in polynomial time by same algorithm. The obvious conclusion of the work is P = NP.