The proper orientation number χ→(G) of a graph G is the minimum k such that there exists an edges with all vertex-outdegrees at most and for any adjacent vertices, outdegrees are different. Two major conjectures about resolved. First it shown, planar 14. Secondly, shown every graph, , where r=χ(G) usual chromatic maximum average degree taken over subgraphs G. Several other related results deriv...

in this work, we conduct a comparative study among the combine laplace transform and modied adomian decomposition method (lmadm) and two traditional methods for an analytic and approximate treatment of special type of nonlinear volterra integro-differential equations of the second kind. the nonlinear part of integro-differential is approximated by adomian polynomials, and the equation is red...

BACKGROUND One has to start to consider references as a kind of evidence similar to measured data and observations. Moreover, proper referencing adds to the credibility of a paper and gives appropriate credits to work of others. Experience of reviewers and editors indicate that there is room for improvement in the way that our scientific evidence base is referred to. OBJECTIVE To provide guid...

This study discusses some variants of Ordered WeightedAveraging (OWA) operators and related information aggregation methods. Indetail, we define the Extended Ordered Weighted Sum (EOWS) operator and theExtended Ordered Weighted Averaging (EOWA) operator, which are applied inscientometrics evaluation where the preference is over finitely manyrepresentative works. As...

We study the complexity of holomorphic isometries and proper maps from the complex unit ball to type IV classical domains. We investigate on degree estimates of holomorphic isometries and holomorphic maps with minimum target dimension. We also construct a real-parameter family of mutually inequivalent holomorphic isometries from the unit ball to type IV domains. We also provide examples of non-...

we consider the space of weakly almost periodic functions on a transformation semigroup (s, x , ?) and show that if x is a locally compact noncompact uniform space, and ? is a separately continuous, separately proper, and equicontinuous action of s on x, then every continuous function on x, vanishing at infinity is weakly almost periodic. we also use a number of diverse examples to show that th...

We show how Schwinger’s proper time method can be used to evaluate directly the determinant of first order operators associated with fermionic theories. Several examples are worked out in detail. e-mail: [email protected] 1

We give examples of proper normal surfaces that are not embeddable into simplicial toric prevarieties nor toric prevarieties of a ne intersection.