ar X iv : 1 10 7 . 10 76 v 1 [ cs . D S ] 6 J ul 2 01 1 Genome Halving by Block Interchange

ar X iv : 1 70 7 . 05 20 6 v 1 [ m at h . C A ] 4 J ul 2 01 7 Umbral Methods and Harmonic Numbers

The theory of harmonic based function is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the properties of Gaussian integrals.

Approximate Generalized Matching: $f$-Factors and $f$-Edge Covers

In this paper we present linear time approximation schemes for several generalized matching problems on nonbipartite graphs. Our results include O (m)-time algorithms for (1 − )maximum weight f -factor and (1+ )-approximate minimum weight f -edge cover. As a byproduct, we also obtain direct algorithms for the exact cardinality versions of these problems running in O(m √ f(V )) time. The technic...

ar X iv : 1 30 7 . 17 46 v 1 [ cs . I T ] 6 J ul 2 01 3 Generalized Quasi - Cyclic Codes Over F q + u F q

Generalized quasi-cyclic (GQC) codes with arbitrary lengths over the ring Fq + uFq, where u 2 = 0, q = p, n a positive integer and p a prime number, are investigated. By the Chinese Remainder Theorem, structural properties and the decomposition of GQC codes are given. For 1-generator GQC codes, minimal generating sets and lower bounds on the minimum distance are given. As a special class of GQC...

ar X iv : 1 30 7 . 76 27 v 2 [ he p - ex ] 1 A ug 2 01 3 Combination of CDF and D 0 W - Boson Mass Measurements

ar X iv : 0 80 6 . 01 70 v 2 [ m at h . Q A ] 1 J ul 2 00 8 WEIGHT MULTIPLICITY POLYNOMIALS OF MULTI - VARIABLE WEYL MODULES

This paper is based on the observation that dimension of weight spaces of multi-variable Weyl modules depends polynomially on the highest weight (Conjecture 1). We support this conjecture by various explicit answers for up to three variable cases and discuss the underlying combinatorics.