Many existing degree based topological indices can be clasified as bond incident degree (BID) indices, whose general form is BID(G) = ∑ uv∈E(G) Ψ(du, dv), where uv is the edge connecting the vertices u, v of the graph G, E(G) is the edge set of G, du is the degree of the vertex u and Ψ is a non-negative real valued (symmetric) function of du and dv. Here, it has been proven that if the extensio...

A bstract It is known that the Atiyah-Patodi-Singer index can be reformulated as eta invariant of Dirac operators with a domain wall mass which plays key role in anomaly inflow topological insulator boundary. In this paper, we give conjecture version given simply from Berry phase associated when adiabatic approximation valid. We explicitly confirm for special case two dimensions where an analyt...

This paper presents a simple and effective missing texture reconstruction method based on a perceptually optimized algorithm. The proposed method utilizes the structural similarity (SSIM) index as a new visual quality measure for reconstructing missing areas. Furthermore, in order to adaptively reconstruct target images containing several kinds of textures, the following two novel approaches ar...

Answering structural queries of XML with index is an important approach of efficient XML query processing. Among existing structural indexes for XML data, F&B index is the smallest index that can answer all branching queries. However, an F&B index for less regular XML data often contains a large number of index nodes, and hence a large amount of main memory. If the F&B index cannot be accommoda...

the risks of fire and explosion in oil and gas industry need to be managed. the objectives of the present study were to assess the risk of fire and explosion in iso-max unit of tehran oil refinery using dow’s fire and explosion index and to study the influences of the controlling methods. the latest version of dow fire and explosion index guideline was applied to calculate the fire and explosio...