Recently Nikolić, Trinajstić and Randić put forward a novel modification W(G) of the Wiener number W(G), called modified Wiener index , which definition was generalized later by Gutman and the present authors. Here we study another class of modified indices defined as Wmin,λ(G)=∑(V(G) mG(u,ν) −mG(u,ν) ) and show that some of the important properties of W(G), W(G) and W(G) are also properties of...

Quite a lot of works have been devoted to the problem modeling behavior thin-walled structures exposed an aggressive environment leading corrosive wear their surface. Researchers proposed fairly large set models wear, taking into account influence various factors on kinetics corrosion (time, material, temperature, nature environment, stress-strain state structure). Moreover, different authors o...

The principal investigators would like to thank their collaborators, research assistants and master students which were incorporated in the research project and essentially contribute to the planned assignments. These are the PhD students Wolfgang Bier (UniK), Ulrich Heisserer (TUM), and Magda Martins-Wagner (UniBW München) as well as the students Idit Cohen, Shachar Koen, and Alexander Ripp. F...

We study the point-to-point shortest path problem in a setting where preprocessing is allowed. We improve the reach-based approach of Gutman [16] in several ways. In particular, we introduce a bidirectional version of the algorithm that uses implicit lower bounds and we add shortcut arcs which reduce vertex reaches. Our modifications greatly reduce both preprocessing and query times. The result...

Suppose that G is a simple graph. We prove that if G contains a small number of cycles of even length then the matching polynomial of G can be expressed in terms of the characteristic polynomials of the skew adjacency matrix A(G) of an arbitrary orientation G of G and the minors of A(G). In addition to a formula previously discovered by Godsil and Gutman, we obtain a different formula for the m...

Several alternative definitions to graph energy have appeared in literature recently, the first among them being the Laplacian energy, defined by Gutman and Zhou in [Linear Algebra Appl. 414 (2006), 29–37]. We show here that Laplacian energy apparently has small power of discrimination among threshold graphs, by showing that, for each n, there exists a set of n mutually noncospectral connected ...

the aim of this research is to analyze the performance of 8 drought’s index in isfahan, kerman and yazd province and choose the best index. for this purpose, used monthly and yearly rainfall data in the period of 30 years (1985-2014) and also used 8 drought indexes in 20 meteorological stations of central iran which the accuracy of each index in determining drought is examined. also zoning in a...

the purpose of the present study was to provide empirical support for the construct of the involvement load hypothesis (ilh ) in an efl context. to fulfill the purpose of the study, 4 intact groups consisting of 126 intermediate-level students participated in this experiment. in order to ensure that the participants were at the same level of english language proficiency, the nelson test was adm...

The research problem is the existence of symbolic violence against private school students through stereotypes. purpose study was to analyze negative stereotypes as a means violence. This conducted using mixed method concurrent embedded in 10 schools and 6 public schools. Qualitative informants many 43 people were determined purposive sampling while 301 quantitative respondents random sampling....

Dendrimers are highly branched organic macromolecules with successive layers or generations of branch units surrounding a central core [1,4]. These are key molecules in nanotechnology and can be put to good use. In this article, we compute the first geometricarithmetic index of two infinite classes of dendrimers.