Here we study the normalized Laplacian characteristics polynomial (L-polynomial) for trees and specifically for starlike trees. We describe how the L-polynomial of a tree depends on some topological indices. For which, we also define the higher order general Randić indices for matching and which are different from higher order connectivity indices. Finally we provide the multiplicity of the eig...

If $G$ is a connected graph with vertex set $V$, then the eccentric connectivity index of $G$, $xi^c(G)$, is defined as $sum_{vin V(G)}deg(v)ecc(v)$ where $deg(v)$ is the degree of a vertex $v$ and $ecc(v)$ is its eccentricity. In this paper we show some convergence in probability and an asymptotic normality based on this index in random bucket recursive trees.

The generalized atom-bond connectivity index of a graph G is denoted by ABCa(G) and defined as the sum of weights ((d(u)+d(v)-2)/d(u)d(v))aa$ over all edges uv∊G. A cactus is a graph in which any two cycles have at most one common vertex. In this paper, we compute sharp bounds for  ABCa index for cacti of order $n$ ...

In this paper, we show that in the class of connected graphs G of order n ≥ 3 having girth at least equal to k, 3 ≤ k ≤ n, the unique graph G having minimum general sum-connectivity index χα(G) consists of Ck and n−k pendant vertices adjacent to a unique vertex of Ck, if−1 ≤ α < 0. This property does not hold for zeroth-order general Randić index Rα(G).

Static index pruning methods have been proposed to reduce size of the inverted index of information retrieval systems. The goal is to increase efficiency (in terms of query response time) while preserving effectiveness (in terms of ranking quality). Current state-of-the-art approaches include the term-centric pruning approach and the document-centric pruning approach. While the term-centric pru...

Network-centric computing is an emerging paradigm that requires minimal local resources and a high degree of connectivity to a structure similar with a power grid. Software agents are programs which autonomously pursue their own agenda. In this paper we discuss the use of software agents for network-centric computing. We attempt to dispell the myth that network agents provide miraculous solutio...

the foundation of most intellectual discourse is western-centric to the exclusion of other views. this includes ideal patterns of social interaction, preference for aesthetic, accepted norms and values, and the concepts of dignity, respectability, morality and ethics. such a position is culturally myopic. western cultural influence colors all of them including moral precepts. the assumption is ...

In this paper we aim to demonstrate that the emerging paradigm of content-centric networking conceived for future Internet architectures can be also beneficial from the energy efficiency point of view. The reference scenario to prove this statement is a Mobile Ad hoc Network (MANET) characterized by dynamic topology and intermittent connectivity. We design CHANET, a content-centric MANET that r...

Let Sz(G), Sz(G) and W (G) be the Szeged index, revised Szeged index and Wiener index of a graph G. In this paper, the graphs with the fourth, fifth, sixth and seventh largest Wiener indices among all unicyclic graphs of order n > 10 are characterized; and the graphs with the first, second, third, and fourth largest Wiener indices among all bicyclic graphs are identified. Based on these results...