Harary matrix
WebJan 24, 2008 · Abstract. We report lower and upper bounds for the Harary index of a connected (molecular) graph, and, in particular, upper bounds of triangle- and quadrangle-free graphs. We also give the Nordhaus–Gaddum-type result for the Harary index. Download to read the full article text. WebMar 24, 2024 · The detour matrix , sometimes also called the maximum path matrix or maximal topological distances matrix, of a graph is a symmetric matrix whose th entry is the length of the longest path from vertex to vertex , or if there is no such path (Harary 1994, p. 203). The most common convention (and that adopted here) is to take .. There is no …
Harary matrix
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WebJan 21, 1990 · Get Textbooks on Google Play. Rent and save from the world's largest eBookstore. Read, highlight, and take notes, across web, tablet, and phone. WebCombinatorial Matrix Theory - Richard A. Brualdi 1991-07-26 This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory. ... Graphentheorie. - Frank Harary 1974-01. 5 Elementare moderne Physik - Richard T. Weidner 2013-03-13 Über Matrizen Aus Nicht Negativen Elementen - Georg Frobenius 1912
WebMay 11, 2015 · In this paper we obtain the characteristic polynomial of the Harary matrix of the join of two regular graphs whose diameter is less than or equal to two and thereby construct pairs. Upload WebIn the area of graph theory in mathematics, a signed graph is a graph in which each edge has a positive or negative sign.. A signed graph is balanced if the product of edge signs around every cycle is positive. The …
WebThe Harris Matrix and Its Significance to Archaeology. Before the creation of the Harris Matrix in early 1973, the stratigraphic paradigm for archaeology was the ‘section’ or … WebA novel topological index for the characterization of chemical graphs, derived from the reciprocal distance matrix and named the Harary index in honor of Professor Frank Harary, has been introduced. The Harary index is not a unique molecular descriptor; the smallest pair of the alkane trees with identical Harary indices has been detected in the octane family.
http://homepages.math.uic.edu/~kauffman/HararyMatrix.pdf
WebThroughout this paper all graphs will be assumed simple that is without loops, multiple or directed edges. If G is such a graph with n-vertices and m-edges, then G will be called (n, m)-graph. common home seller issues in state of nyWebfinally we may write a square matrix A = A (D) in which the entry in the i, j cell is 1 if there is a line of D from the i'th point to the j'th point, and this entry is, 0 otherwise. The matrix A is known as the adjacency matrix of the digraph D. It is sometimes customary when speaking of digraphs to restrict consideration to irreflexive relations. dual layer selective emitterWebThe reciprocal vertex-distance matrix, denoted by vDr, called the vertex-Harary matrix [ 255] in honor of the late Professor Frank Harary (1921-2004), the grandmaster of both … common home styles early 1900\u0027s north dakotaWebThe reciprocal vertex-distance matrix, denoted by vDr, called the vertex-Harary matrix [ 255] in honor of the late Professor Frank Harary (1921-2004), the grandmaster of both graph theory and chemical graph theory, can simply be obtained by replacing off-diagonal elements of the vertex-distance matrix v D by their reciprocals [ 255-258. common home selling mythWebThe Harary energy HE (G) of a connected graph G is defined as sum of the absolute values of the reciprocal distance eigenvalues of G, that is, HE (G) = ∑ i = 1 n ρ i . In this paper, … dual language stories spanish englishWebJun 19, 2024 · The reciprocal distance matrix was introduced by Ivanciuc et al. in as an important molecular matrix. Recently, many researchers are interested to study the spectrum of the reciprocal distance matrix of a graph, see and the references therein. The reciprocal distance matrix of a graph, also called the Harary matrix. common homes in indiaWeb1 2 Engineering Mathematics B S Grewal S Chand Co Pdf Pdf Yeah, reviewing a book 2 Engineering Mathematics B S Grewal S Chand Co Pdf Pdf could ensue your close associates listings. dual layer maps tableau