Generalized johnson graph
WebNov 6, 2015 · 1. Introduction. There are some generalisations of Johnson graphs in the literature with different applications, see for example [10], [7].In this paper, we introduce … WebKeywords: girth; diameter; generalized Johnson graphs; uniform subset graphs. 1. Introduction. Let v>k>ibe non-negative integers. The generalized Johnson graph, X= …
Generalized johnson graph
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WebHow to use generalized in a sentence. made general; especially : not highly differentiated biologically nor strictly adapted to a particular environment… See the full definition WebThe generalized distance matrix D α ( G ) of a connected graph G is defined as D α ( G ) = α T r ( G ) + ( 1 − α ) D ( G ) , where 0 ≤ α ≤ 1 , D ( G ) is the distance matrix and T r ( G ) is the diagonal matrix of the node transmissions. In this paper, we extend the concept of energy to the generalized distance matrix and define the generalized distance energy E …
WebThe generalized Johnson graph J ( v, k, r) is defined to be the graph whose vertex set is the set of all k -element subsets of { 1, 2, …, v }, and with two vertices adjacent iff their … WebSep 1, 2012 · In literature they appear as generalized Johnson graphs [1, 7, 33]; uniform subset graphs [9,11,41] and distance graphs [5,6,36,45]. The family of G(n, r, s) graphs was initially (to the best of ...
WebThe Johnson graph J ( n, m) is the graph that describes the distance-1 relation in the Johnson scheme. It is distance-regular of diameter min ( m, n – m ). In particular, for m = 2 it is strongly regular, and the parameters are v = m ( m – 1)/2, k = 2 ( m – 2), λ = m – 2, μ = 4. This graph J ( n ,2) is also known as the triangular graph T ( n ). WebA Johnson graph with parameters n, w, d has a node for every binary vector of length n with exactly w 1s. Two vertices are adjacent if and only if their hamming distance is at …
WebIn our opinion, the term “generalized Johnson graph” is preferred as the most comprehensible, since, if we set s = r −1, then the definition of G(n,r,s) turns into the definition of the well-known Johnson graph. Note that the Kneser graph is also a …
WebGeneralization definition, the act or process of generalizing. See more. cilla black you\\u0027re my world lyricsWebThe generalized Johnson graph, J (v,k,i), is the graph whose vertices are the k-subsets of a v-set, where vertices A and B are adjacent whenever A∩B =i. In this article, we derive general... cilla black you\\u0027ll never walk aloneWebJul 1, 2024 · This and a known conditional result due to Johnson imply that all Kneser graphs of the form K(2k+2a,k) with k≥3 and a≥0 have a Hamilton cycle. We also prove that K(2k+1,k) has at least 22k−6 ... dhl shipping stand forWebThe meaning of GENERALIZATION is the act or process of generalizing. How to use generalization in a sentence. dhl shipping time from india to usaWebApr 1, 2024 · Let Γ be a graph with n vertices, where each edge is given an orientation and let Q be the vertex-edge incidence matrix. We obtain a formula for the Moore–Penrose inverse of Q, when Γ is a... dhl shipping to australia from usaWebDownload scientific diagram The flip graph of triangulations G T n of a convex n-gon for n = 6, and a rainbow cycle in this graph. from publication: Rainbow Cycles in Flip Graphs The flip ... cilla brooksWebThe stress of any vertex of a graph G is defined as the number of shortest path passing through that vertex as an internal vertex. If the stress of every vertex in a graph is equal, such graphs are called stress regular graphs. ... Note: Vertex stress in generalized Johnson graphs of diameter 2. J. Kok; Mathematics. Open Journal of Discrete ... cilla boulangerie