[PDF] Top 20 Some Lower Bounds for Estrada Index

... [57]. Lower and upper bounds have been established for the Estrada index, see ...[814]. Some other properties for the Estrada index may be found in ...present ... See full document

... distance Estrada index for a simple graph G ...and lower bounds for these two ...The bounds to general distance Estrada index are also established for almost all graphs by ... See full document

... Wiener index [24] and Balaban J index [11] that are based on the length of vertices in the particular graph, the Estrada index [17] and energy of a graph [19] techniques are inherit the ... See full document

... Kirchhoff index, the Kirchhoff energy and the Kirchhoff Estrada index of a ...and lower bounds for these new indexes and ...of some fixed point techniques, they have been applied in ... See full document

... and lower bounds for the Seidel-Estrada index of the graph ...give some definitions and obtain some upper and lower bounds for the Seidel-Estrada ... See full document

... In 26, it has been given bounds for the sum of the chromatic numbers of a graph G and its complement G. After that, in general meanings, so many people investigated a number of graph invariants in terms of G and ... See full document

... Zagreb index of graph G is defined as ( ) = ∑ ∈ ( ) ( ) , where  is a real number and d(v) is the degree of vertex ...paper, some lower and upper bounds for the expected value and ... See full document

... eccentricity index of a graph G is the sum of eccentricities of all the vertices of ...derive some sharp upper and lower bounds of total eccentricity index of different subdivision ... See full document

... ABC index is provided. It indicates that the terms dening this index represent the probability of visiting a nearest neighbor edge from one side or the other of a given edge in a ...study some ... See full document

... They also determined lower and upper bounds for SLEE in terms of the number of vertices and edges. In [9, 12], we investigated the unique graphs with maximum SLEE among the set of all graphs with given ... See full document

... and lower bounds on the eccentricity connectivity index of unicyclic graphs with perfect ...give some lower bounds on the eccentric connectivity index of unicyclic graphs ... See full document

... upper bounds for the number of closed walks in a graph in terms of the number of vertices, number of edges, maximum degree, degree sequence, and the Zagreb indices of the ...present some new upper ... See full document

... (SDD) index was selected as a significant predictor of total surface area of polychlorobiphenyls ...SDD index in several classes of graphs (with given number of vertices): the class of all connected graphs, ... See full document

... Zagreb index, particularly its upper and lower bounds has attracted recently threat tension of many mathematicians and computer scientists, in [2, 10, 12, 13, 14, 19, ...and lower ... See full document

... In some recent works, Fowler and Pisanski ([] and []) introduced an index of a graph that is related to the HOMO-LUMO ...Several bounds for this index have been proposed for some ... See full document

... risk lower bounds, it only applies to weighted quadratic loss functions (as its proof relies on Cauchy-Schwarz inequality) and requires the underlying Fisher information to be easily computable, which ... See full document

... In 1999, Friedman and Skoruppa demonstrated a method to derive lower bounds for the relative regulator of an extension L/K of number fields. The relative regulator is defined using the subgroup of relative ... See full document

... a lower bound does exist, and this is first obtained by Lyons in [18] for the case of l 2 with the best possible ...the lower bounds for an arbitrary non-negative matrix acting on non-increasing ... See full document

... [1] G. Bennett, Lower bounds for matrices, Linear Algebra and Appl., 82 (1986) 81–98. [2] G. Bennett, Some elemantary inequalities II, Q. J. Math. Oxford, 39 (2) (1988) 385–400. [3] G. Bennett, ... See full document

... p(x)y + λq(x)y = 0, 0 < x < l, y(0) = y(l) = 0. (1.5) This will be achieved by first considering the intermediate problem in (2.1). The second goal is to establish upper bounds for fourth-order differential ... See full document