String matching problem is widely studied problem in computer science, mainly due to its large applications used in various fields. In this regards many string matching algorithms have been proposed. Boyer-Moore is most popular algorithm. Hence, maximum variants are proposed from Boyer-Moore (BM) algorithm. This paper addresses the variant of Boyer-Moore algorithm for finding the occurrences of...

Let ρ(G) denote the number of convex cycles of a simple graph G of order n, size m, and girth 3 ≤ g ≤ n. It is proved that ρ(G) ≤ ng (m−n+ 1) and that equality holds if and only if G is an even cycle or a Moore graph. The equality also holds for a possible Moore graph of diameter 2 and degree 57 thus giving a new characterization of Moore graphs.

In this paper we exhibit, under suitable conditions, a neat relationship between the Moore–Penrose generalized inverse of a sum of two matrices and the Moore–Penrose generalized inverses of the individual terms. We include an application to the parallel sum of matrices. AMS 1991 subject classifications. Primary 15A09; secondary 15A18.