The Harary index of a graph is defined as the sum of reciprocals of distances between all pairs of vertices of the graph. In this paperweprovide anupper boundof theHarary index in terms of the vertex or edge connectivity of a graph. We characterize the unique graph with themaximumHarary index among all graphs with a given number of cut vertices or vertex connectivity or edge connectivity. In ad...

In this paper, a new access method is proposed for current positions of moving objects on road networks in order to efficiently update their positions. In the existing index structures, the connectivity ofedges is lost because the intersection points in which three or more edges are split. The proposed index structure preserves the network connectivity, which uses intersection oriented network ...

The right and left hand Motor Imagery (MI) analysis based on the electroencephalogram (EEG) signal can directly link the central nervous system to a computer or a device. This study aims to identify a set of robust and nonlinear effective brain connectivity features quantified by transfer entropy (TE) to characterize the relationship between brain regions from EEG signals and create a hierarchi...

Wireless networking is expected to sustain the direct interaction between personal users’ devices, and provide connectivity on large-scale resource-constrained devices. However, conventional protocols fail in large scale mobile wireless environments, due node mobility, dynamic topologies, intermittent connectivity. Information-Centric Networking (ICN) has been considered most promising candidat...

The progress monitoring (PM) of construction projects is an essential aspect project control that enables the stakeholders to make timely decisions ensure successful delivery, but ongoing practices are largely manual and document-centric. However, integration technologically advanced tools into has shown potential automate PM (CPM) using real-time data collection, analysis, visualization for ef...

Many of the problems with native XML databases relate to query performance and subsequently, it can be difficult to convince traditional database users of the benefits of using semior unstructured databases. Presently, there still lacks an index structure providing efficient support for structural queries and the traditional data-centric and content queries. This paper presents an extended inde...

In this paper, the concepts of Wiener index of a vertex weighted and edge weighted graphs are discussed. Vertex weight and edge weight of a clique are introduced. Wiener index of a vertex weighted partial cube is also discussed. Also a new concept known as Connectivity index is introduced. A relation between Connectivity index and Wiener index for different graphs are discussed.

Relationship between the topochemical indices and 5-HT6 binding affinity of 3-ethyl-1H-indoles has been investigated. Wiener’s topochemical index a distance-based topochemical descriptor, eccentric connectivity topochemical index and augmented eccentric connectivity topochemical index both adjacency-cum-distance based topochemical descriptors were used for the present investigation. A dataset c...

The augmented eccentric connectivity index of a graph which is a generalization of eccentric connectivity index is defined as the summation of the quotients of the product of adjacent vertex degrees and eccentricity of the concerned vertex of a graph. In this paper we established some relationships between augmented eccentric connectivity index and several other graph invariants like number of ...

Eccentric connectivity index has been found to have a low degeneracy and hence a significant potential of predicting biological activity of certain classes of chemical compounds. We present here explicit formulas for eccentric connectivity index of various families of graphs. We also show that the eccentric connectivity index grows at most polynomially with the number of vertices and determine ...