The hyper-Kirchhoff index is introduced when the hyper-Wiener operator is applied to the resistance-distance matrix of a connected graph. We give lower and upper bounds for the hyper-Kirchhoff index, and determine the n-vertex unicyclic graphs with the smallest, the second and the third smallest as well as the largest, the second and the third largest hyper-Kirchhoff indices for n ≥ 5. We also ...

INTRODUCTION Salmonella enterica serotype Kentucky was isolated from septic poultry in Nigeria. The objective of this study was to characterize this isolate by screening for SGI1 and hyper-virulence. METHODOLOGY The strain was characterized by identification of Salmonella genomic island 1 (SGI1) through a PCR assay and we used a tissue culture invasion assay to assess protozoa-mediated hyper-...

Background & Objective:  Hyper- kyphosis negatively affects health status, physical mobility, and quality of life. Corrective exercise interventions are often utilized to manage subjects with thoracic hyper-hypnosis. The purpose of this study was to investigate the effectiveness of multimodal spine strengthening exercises (spinal strengthening, spinal alignment and other such exercises for incr...

Given a family of (hyper)graphs F a (hyper)graph G is said to be F-saturated if G is F -free for any F ∈ F but for any edge e in the complement of G the (hyper)graph G + e contains some F ∈ F . We survey the problem of determining the minimum size of an F-saturated (hyper)graph and collect many open problems and conjectures.

In this note we consider the notion of intuitionistic fuzzy (weak) dual hyper K-ideals and obtain related results. Then we classify this notion according to level sets. After that we determine the relationships between intuitionistic fuzzy (weak) dual hyper K-ideals and intuitionistic fuzzy (weak) hyper K-ideals. Finally, we define the notion of the product of two intuitionistic fuzzy (weak) du...

In this paper we apply the hyper-Kähler quotient construction to Lie groups with a left invariant hyper-Kähler structure under the action of a closed abelian subgroup by left multiplication. This is motivated by the fact that some known hyper-Kähler metrics can be recovered in this way by considering different Lie group structures on Hp× H (H: the quaternions). We obtain new complete hyper-Kähl...

This paper introduces a variant of clausal normal form tableaux that we call “hyper tableaux”. Hyper tableaux keep many desirable features of analytic tableaux while taking advantage of the central idea from (positive) hyper resolution, namely to resolve away all negative literals of a clause in a single inference step. Another feature of the proposed calculus is the extensive use of universall...