HYPERGRAPH MODELS FOR SPARSE MATRIX PARTITIONING AND REORDERING  Umit V. C ataly urek Ph.D. in Computer Engineering and Information Science Supervisor: Assoc. Prof. Cevdet Aykanat November, 1999 Graphs have been widely used to represent sparse matrices for various scienti c applications including one-dimensional (1D) decomposition of sparse matrices for parallel sparse-matrix vector multiplic...

An r-uniform hypergraph is k-edge-hamiltonian iff it still contains a hamiltonian-chain after deleting any k edges of the hypergraph. What is the minimum number of edges in such a hypergraph? We give lower and upper bounds for this question for several values of r and k. © 2007 Elsevier B.V. All rights reserved.

For a fixed 3-uniform hypergraph F , call a hypergraph F-free if it contains no subhypergraph isomorphic to F . Let ex(n,F) denote the size of a largest F-free hypergraph G ⊆ [n]. Let Fn(F) denote the number of distinct labelled F-free G ⊆ [n]. We show that Fn(F) = 2ex(n,F)+o(n 3), and discuss related problems.

We discuss the construction of a long semi-exact Mayer–Vietoris sequence for homology any finite union open subspaces. This is used to obtain topological conditions representation integral meromorphic n-form on an n-dimensional complex manifold in terms Grothendieck residues. For such exist, it necessary that cycle integration separates set polar hypersurfaces form. The separation condition num...

ABSTRACT In this article an attempt has been made to study some new algebraic structures of intuitionistic multi-anti fuzzy normal subgroups under homomorphism are discussed. Keywords Intuitionistic multi-fuzzy set (IMFS), subgroup (IMAFSG), (IMAFNSG). Mathematics Subject Classification 20N25, 03E72, 08A72, 03F55, 06F35, 03G25, 08A05