Results 21 to 30 of about 38,678 (149)
Some improved bounds on two energy-like invariants of some derived graphs
Open Mathematics, 2019 Given a simple graph G, its Laplacian-energy-like invariant LEL(G) and incidence energy IE(G) are the sum of square root of its all Laplacian eigenvalues and signless Laplacian eigenvalues, respectively. This paper obtains some improved bounds on LEL and
Cui Shu-Yu, Tian Gui-Xian
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The Extremal Graphs of Some Topological Indices with Given Vertex k-Partiteness
Mathematics, 2018 The vertex k-partiteness of graph G is defined as the fewest number of vertices whose deletion from G yields a k-partite graph. In this paper, we characterize the extremal value of the reformulated first Zagreb index, the multiplicative-sum Zagreb index,
Fang Gao +3 more
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Log-correlated Gaussian fields: an overview [PDF]
, 2014 We survey the properties of the log-correlated Gaussian field (LGF), which is a centered Gaussian random distribution (generalized function) $h$ on $\mathbb R^d$, defined up to a global additive constant. Its law is determined by the covariance formula $$
Duplantier, Bertrand +3 more
core +4 more sources
Remark on the Laplacian-energy-like and Laplacian incidence energy invariants of graphs [PDF]
Creative Mathematics and Informatics, 2015 Let G be an undirected connected graph with n vertices and m edges, n ≥ 3, and let µ1 ≥ µ2 ≥ · · · ≥ µn−1 > µn = 0 and ρ1 ≥ ρ2 ≥ · · · ≥ ρn−1 > ρn = 0 be Laplacian and normalized Laplacian eigenvalues of G, respectively. The Laplacian-energy-like (LEL) invariant of graph G is defined as... The Laplacian incidence energy of graph is defined as LIE(
I. Z. MILOVANOVIC +3 more
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Overcomplete steerable pyramid filters and rotation invariance [PDF]
, 1994 A given (overcomplete) discrete oriented pyramid may be converted into a steerable pyramid by interpolation. We present a technique for deriving the optimal interpolation functions (otherwise called 'steering coefficients').
Anderson, C. H. +5 more
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Generalized Characteristic Polynomials of Join Graphs and Their Applications
Discrete Dynamics in Nature and Society, 2017 The Kirchhoff index of G is the sum of resistance distances between all pairs of vertices of G in electrical networks. LEL(G) is the Laplacian-Energy-Like Invariant of G in chemistry.
Pengli Lu, Ke Gao, Yang Yang
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Supergravity, AdS/CFT Correspondence and Matrix Models [PDF]
, 1999 The recent developments towards the possible non-perturbative formulation of string/M theory using supersymmetric Yang-Mills matrix models (SYMs) are discussed.
Yoneya, Tamiaki
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Extremal Laplacian-energy-like invariant of graphs with given matching number
The Electronic Journal of Linear Algebra, 2013 Abstract. Let G be a graph of order n with Laplacian spectrum µ 1 ≥ µ 2 ≥ ··· ≥ µ n . TheLaplacian-energy-like invariant of graph G, LEL for short, is defined as: LEL(G) = n P −1k=1 √µ k . In thisnote, the extremal (maximal and minimal) LEL among all the connected graphs with given matchingnumber is determined.
Kexiang Xu, Kinkar Das
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Radical‐Based On‐Surface Transformation of Nonplanar Aromatics Into Nonbenzenoid Nanographenes
Angewandte Chemie, EarlyView.Formation of radicals in nonplanar hydrocarbons through thermally induced dehydrogenation leads to molecular transformation via intramolecular radical‐based cyclization and dimerization, leading to formation of nonbenzenoid nanographenes. ABSTRACT On‐surface synthesis has emerged as a powerful tool for atomically precise C─C bond formation, enabling ...
Daniel Rothhardt +8 more
wiley +2 more sources
D-Brane Bound States Redux [PDF]
, 1997 We study the existence of D-brane bound states at threshold in Type II string theories. In a number of situations, we can reduce the question of existence to quadrature, and the study of a particular limit of the propagator for the system of D-branes ...
Sethi, Savdeep, Stern, Mark
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