In this paper, the homotopy perturbation method (HPM) is considered for finding approximate solutions of two-dimensional viscous flow. This technique provides a sequence of functions which converges to the exact solution of the problem. The HPM does not need a small parameters in the equations, but; the perturbation method depends on small parameter assumption and the obtained results. In most ...

Abstract. Given a set of sequences, S, and degeneracy parameter, d, the Consensus Sequence problem asks whether there exists a sequence that has Hamming distance at most d from each sequence in S. A valid motif set is a set of sequences for which such a consensus sequence exists, while a decoy set is a set of sequences that does not have a consensus sequence but whose pairwise Hamming distances...

This is the third part in a series on mass conserving, high order, mixed finite element method for 2D Stokes flow. In this part, we study block-diagonal preconditioner indefinite Schur complement system arising from discretization of equations using these elements. The underlying uniformly stable both mesh size $h$ and polynomial order $p$, prove bounds eigenvalues preconditioned which are inde...

Two graphs G and G' are said to be k-isomorphic if their edge sets can be partitioned into E(G) = ElUE2 u . . . uEk and E(G' > = E-j-U E; IJ l . . IJEk such that as graphs, E i and E! are 1 isomorphic for l<i<k. In this note we show that it is NP-complete to decide whether two graphs are 2-isomorphic. This research was supported in part by National Science Foundation grant MCS77-05313. -I * Giv...