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On bounded value distribution and bounded index
Nonlinear Analysis: Theory, Methods & Applications, 1978S M Shāh
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2022
Summary: The Sombor index of the graph \(G\) is a degree based topological index, defined as \(\mathrm{SO} = \sum_{uv \in \mathbf{E}(G)} \sqrt{d_u^2+d_v^2}\), where \(d_u\) is the degree of the vertex \(u\), and \(\mathbf{E}(G)\) is the edge set of \(G\).
Gutman, Ivan +3 more
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Summary: The Sombor index of the graph \(G\) is a degree based topological index, defined as \(\mathrm{SO} = \sum_{uv \in \mathbf{E}(G)} \sqrt{d_u^2+d_v^2}\), where \(d_u\) is the degree of the vertex \(u\), and \(\mathbf{E}(G)\) is the edge set of \(G\).
Gutman, Ivan +3 more
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Bounded index exponential hashing
ACM Transactions on Database Systems, 1983Bounded index exponential hashing, a new form of extendible hashing, is described. It has the important advantages over most of the other extendible hashing variants of both (i) providing random access to any record of a file in close to one disk access and (ii) having performance which does not vary with file size.
David B Lomet
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Bounds for the Randić Connectivity Index
Journal of Chemical Information and Computer Sciences, 1999For a saturated hydrocarbon with n carbon atoms and m carbon-carbon bonds and with Randic connectivity index chi, two functions, L = L(n,m) and U = U(n,m), are determined, such that L < or = chi < U. These bounds are better than those previously reported; for most chemically relevant values of n and m there exist hydrocarbons for which chi = L or chi =
Ivan Gutman +2 more
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Bounds on the Steiner–Wiener index of graphs
Discrete Mathematics, Algorithms and Applications, 2021Let S be a set of vertices of a connected graph G. The Steiner distance of S is the minimum size among all connected subgraphs of G containing the vertices of S. The sum of all Steiner distances on sets of size k is called the Steiner k-Wiener index.
V. A. Rasila, Ambat Vijayakumar
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Derivations and bounded nilpotence index
International Journal of Algebra and Computation, 2015We construct a nil ring R which has bounded index of nilpotence 2, is Wedderburn radical, and is commutative, and which also has a derivation δ for which the differential polynomial ring R[x;δ] is not even prime radical. This example gives a strong barrier to lifting certain radical properties from rings to differential polynomial rings.
Pace P. Nielsen, Michal Ziembowski
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GEOMETRIC BOUNDS ON THE RELATIVE INDEX
Journal of the Institute of Mathematics of Jussieu, 2002The author introduces the notion of the relative index for a pair of embeddable CR structures. Let \((Y,{\xi})\) be a contact 3-manifold with the contact structure \(\xi\). Let \(J,J^{\prime}\) denote a pair of embeddable CR structures on \(Y\), compatible with \(\xi\).
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Journal of Mathematical Chemistry, 2009
In this paper, we obtain the lower and upper bounds on the Harary index of a connected graph (molecular graph), and, in particular, of a triangle- and quadrangle-free graphs in terms of the number of vertices, the number of edges and the diameter.
Das, Kinkar Ch. +2 more
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In this paper, we obtain the lower and upper bounds on the Harary index of a connected graph (molecular graph), and, in particular, of a triangle- and quadrangle-free graphs in terms of the number of vertices, the number of edges and the diameter.
Das, Kinkar Ch. +2 more
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Bounds of the extended Estrada index of graphs
Applied Mathematics and Computation, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jing Li, Lu Qiao, Nan Gao
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A note on new bounds for the Estrada Index
Linear Algebra and its Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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