The n-Hosoya Polynomials of the Square of a Path and of a Cycle [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2021 The n-Hosoya polynomial of a connected graph G of order t is defined by: Hn (G;x) = ∑ Cn (G;x) xk, where, Cn(G,k) is the number of pairs (v,S), in which |S| = n -1, 3 ≤ n ≤ t, v ∈ V(G) , S ⊆ V (G) , such that
Ahmed Ali
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The n-Wiener Polynomials of the Cartesian Product of a Complete Graph with some Special Graphs [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 The n-Wiener polynomials of the Cartesian products of a complete graph Kt with another complete graph Kr, a star graph Sr, a complete bipartite graph Kr,s, a wheel Wr, and a path graph Pr are obtained in this paper.
Ali Ali, Haveen Ahmed
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The n-Wiener Polynomials of Straight Hexagonal Chains and Kt×Cr [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 The n-Wiener polynomials of straight hexagonal chains and the Cartesian product of a complete graph Kr and a cycle Cr are obtained in this paper. The n-diameter and the n-Wiener index of each such graphs are also determined.
Ali Ali, Haveen Ahmed
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Then-diameter of planar sets of constant width [PDF]
Involve, a Journal of Mathematics, 2012 We study the notion of [math] -diameter for sets of constant width. A convex set in the plane is said to be of constant width if the distance between two parallel support lines is constant, independent of the direction. The Reuleaux triangles are the well-known examples of sets of constant width that are not disks. The [math] -diameter of a compact set
Ibragimov, Zair, Le, Tuan
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Experimental study on the evaporating progress of hexane lens on immiscible liquid：Spreading and receding [PDF]
E3S Web of Conferences, 2021 The change of evaporation liquid on another immiscible liquid has important guiding significance for many applications. In this experiment, the geometric temperature distribution and evaporation rate of n-hexane droplets were observed and recorded by ...
Chen Aiqiang +4 more
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Hosoya Polynomials of Steiner Distance of Complete m-partite Graphs and Straight Hexagonal Chains(*) [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 The Hosoya polynomials of Steiner distance of complete m-partite graphs and Straight hexagonal chains are obtained in this paper. The Steiner n-diameter and Wiener index of Steiner n-distance of and are also obtained.
Ali Ali, Herish Abdullah
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Left atrial appendage morphology with the progression of atrial fibrillation
PLoS ONE, 2022 Left atrial appendage (LAA) size is crucial for determining the indication of transcatheter LAA closure. The aim of this study was to evaluate the differences in LAA morphology according to the types of atrial fibrillation (AF).
Yoichi Takaya +6 more
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S-nuclearity and n-diameters of infinite Cartesian products of bounded subsets in Banach spaces
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2003 In this paper we classify compact subsets of a normed space according to the rate of convergence to zero of its sequence {δn(B)} of Kolmogorov diameters. We introduce σ-compact sets to satisfy that {δn(B)}∈σ where σ is an ideal of convergent to zero sequences.
Faried, Nashat, Fathey, Mona
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The Conditional Fault-Diameter of the K-ary n-Cube
Sultan Qaboos University Journal for Science, 2005 We obtain the conditional fault diameter of the k-ary n-cube interconnection network. It has been previously shown that under the condition of forbidden faulty sets (i.e.
Khaled Day, Abderezak Touzene
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Brief Announcement: Faster Asynchronous MST and Low Diameter Tree Construction with Sublinear Communication [PDF]
, 2019 Building a spanning tree, minimum spanning tree (MST), and BFS tree in a distributed network are fundamental problems which are still not fully understood in terms of time and communication cost.
King, Valerie, Mashreghi, Ali
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