Publications (493)441.52 Total impact

 Journal of the Serbian Chemical Society 07/2014; 79(5):557563. · 0.91 Impact Factor

Dataset: MATCH(XLDGF)2014

Dataset: match71n3 461508
 Match (Mulheim an der Ruhr, Germany) 02/2014; 71(3):461508. · 1.83 Impact Factor
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ABSTRACT: Let G be a connected graph of order n with Laplacian eigenvalues μ1⩾μ2⩾⋯⩾μn1>μn=0μ1⩾μ2⩾⋯⩾μn1>μn=0. The Laplacianenergylike invariant of the graph G is defined as LEL=LEL(G)=∑i=1n1μi. Lower and upper bounds for LEL are obtained, in terms of n, number of edges, maximum vertex degree, and number of spanning trees.Linear Algebra and its Applications 02/2014; 442:58–68. · 0.97 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: A simple graphtheorybased model is presented, by means of which it is possible to express the energy difference between geometrically nonequivalent forms of a conjugated polyene. This is achieved by modifying the adjacency matrix of the molecular graph, and including into it information on cis/trans constellations. The total πelectron energy thus calculated is in excellent agreement with the enthalpies of the underlying isomers and conformers.Journal of the Serbian Chemical Society 01/2014; 79(7):805813. · 0.91 Impact Factor 
Article: On incidence energy of graphs
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ABSTRACT: Let G=(V,E)G=(V,E) be a simple graph with vertex set V={v1,v2,…,vn}V={v1,v2,…,vn} and edge set E={e1,e2,…,em}E={e1,e2,…,em}. The incidence matrix I(G)I(G) of G is the n×mn×m matrix whose (i,j)(i,j)entry is 1 if vivi is incident to ejej and 0 otherwise. The incidence energy IE of G is the sum of the singular values of I(G)I(G). In this paper we give lower and upper bounds for IE in terms of n, m, maximum degree, clique number, independence number, and the first Zagreb index. Moreover, we obtain Nordhaus–Gaddumtype results for IE.Linear Algebra and its Applications 01/2014; · 0.97 Impact Factor 
Article: On Randi\'{c} Spread
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ABSTRACT: A new spectral graph invariant $spr_R$, called Randi\'c spread, is defined and investigated. This quantity is equal to the maximal difference between two eigenvalues of the Randi\'c matrix, disregarding the spectral radius. Lower and upper bounds for $spr_R$ are deduced, some of which depending on the Randi\'c index of the underlying graph.MATCH Commun. Math. Comput. Chem. 01/2014; 72(1):249266.  [Show abstract] [Hide abstract]
ABSTRACT: The energy [TEX equation: E(G)] of a graph [TEX equation: G] , a quantity closely related to total [TEX equation: \pi ] electron energy, is equal to the sum of absolute values of the eigenvalues of [TEX equation: G] . Two graphs [TEX equation: G_a] and [TEX equation: G_b] are said to be equienergetic if [TEX equation: E(G_a)=E(G_b)] . In 2009 it was discovered that there are pairs of graphs for which the difference [TEX equation: E(G_a)E(G_b)] is nonzero, but very small. Such pairs of graphs were referred to as almost equienergetic, but a precise criterion for almost–equienergeticity was not given. We now fill this gap.Journal of Mathematical Chemistry 01/2014; 52(1). · 1.23 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: Let G be a simple undirected graph of order n with vertex set V(G)={v1,v2,…,vn}V(G)={v1,v2,…,vn}. Let didi be the degree of the vertex vivi. The Randić matrix R=(ri,j)R=(ri,j) of G is the square matrix of order n whose (i,j)(i,j)entry is equal to 1/didj if the vertices vivi and vjvj are adjacent, and zero otherwise. The Randić energy is the sum of the absolute values of the eigenvalues of R. Let X, Y, and Z be matrices, such that X+Y=ZX+Y=Z. Ky Fan established an inequality between the sum of singular values of X, Y, and Z. We apply this inequality to obtain bounds on Randić energy. We also present results pertaining to the energy of a symmetric partitioned matrix, as well as an application to the coalescence of graphs.Linear Algebra and its Applications 01/2014; 459:23–42. · 0.97 Impact Factor  Chemical Physics Letters 01/2014; 614:104–109. · 2.15 Impact Factor

Article: Wiener index of Eulerian graphs
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ABSTRACT: The Wiener index of a connected graph GG is the sum of distances between all pairs of vertices of GG. We characterize Eulerian graphs (with a fixed number of vertices) with smallest and greatest Wiener indices.Discrete Applied Mathematics 01/2014; 162:247–250. · 0.72 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: Let R be a nonnegative Hermitian matrix. The energy of R, denoted by E(R)E(R), is the sum of absolute values of its eigenvalues. We construct an increasing sequence that converges to the Perron root of R. This sequence yields a decreasing sequence of upper bounds for E(R)E(R). We then apply this result to the Laplacian energy of trees of order n, namely to the sum of the absolute values of the eigenvalues of the Laplacian matrix, shifted by −2(n−1)/n−2(n−1)/n.Linear Algebra and its Applications 01/2014; 446:304–313. · 0.97 Impact Factor 
Article: On difference of Zagreb indices
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ABSTRACT: The classical first and second Zagreb indices of a graph GG are defined as M1=∑vdv2 and M2=∑uvdudv, where dvdv is the degree of the vertex vv of GG. So far, the difference of M1M1 and M2M2 has not been studied. We show that this difference is closely related to the vertexdegreebased invariant RM2=∑uv(du−1)(dv−1)RM2=∑uv(du−1)(dv−1), and determine a few basic properties of RM2RM2.Discrete Applied Mathematics 01/2014; 178:83–88. · 0.72 Impact Factor  MATCH Communications in Mathematical and in Computer Chemistry. 08/2013;

Article: On Zagreb and Harary Indices
Match (Mulheim an der Ruhr, Germany) 07/2013; 2013(70):301314. · 1.83 Impact Factor 
Article: On Randić energy
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ABSTRACT: The Randić matrix R=(rij)R=(rij) of a graph G whose vertex vivi has degree didi is defined by rij=1/didj if the vertices vivi and vjvj are adjacent and rij=0rij=0 otherwise. The Randić energy RE is the sum of absolute values of the eigenvalues of R. RE coincides with the normalized Laplacian energy and the normalized signlessLaplacian energy. Several properties or R and RE are determined, including characterization of graphs with minimal RE. The structure of the graphs with maximal RE is conjectured.Linear Algebra and its Applications 06/2013; · 0.97 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: A number of vertexdegreebased topological indices (TIs) can be expressed as a linear combination of the parameters mijmij, the number of edges with end vertices of degree i and j. We study the TIs of catacondensed hexagonal systems. Specifically, we introduce two operations, linearizing and unbranching, and show that TI is monotone with respect to these. As a consequence, we express TI in terms of the number of angular and branched hexagons. The catacondensed hexagonal systems for which TI assumes extremal values are characterized, as well as their TIvalues derived.Chemical Physics Letters 05/2013; 572:154–157. · 2.15 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: Whereas there is an exact linear relation between the Wiener indices of kenograms and plerograms of isomeric alkanes, the respective terminal Wiener indices exhibit a completely different behavior: Correlation between terminal Wiener indices of kenograms and plerograms is absent, but other regularities can be envisaged. In this article, we analyze the basic properties of terminal Wiener indices of kenograms and plerograms.
Publication Stats
4k  Citations  
441.52  Total Impact Points  
Top Journals
Institutions

1978–2014

University of Kragujevac
 Department of Chemistry
Krabujevac, Central Serbia, Serbia


2011–2012

Shandong University
 School of Mathematics and Statistics
Jinan, Shandong Sheng, China 
Nanjing University of Aeronautics & Astronautics
 College of Science
Nanching, Jiangsu Sheng, China


2010–2011

Tilburg University
 Department of Econometrics & Operations Research
Tilburg, North Brabant, Netherlands 
Texas A&M University  Galveston
Galveston, Texas, United States 
Sungkyunkwan University
 Department of Mathematics
Sŏul, Seoul, South Korea


2008

Uzbekistan Academy of Sciences
Toshkent, Toshkent Shahri, Uzbekistan


2005

HEC Montréal  École des Hautes Études commerciales
Montréal, Quebec, Canada


2004

Shinshu University
 Faculty of Textile Science and Technology
Matsumoto, Naganoken, Japan 
University of Split
Spalato, SplitskoDalmatinska, Croatia


2003

Xiamen University
Amoy, Fujian, China 
Bielefeld University
 Faculty of Mathematics
Bielefeld, North RhineWestphalia, Germany


2002

University of Bayreuth
Bayreuth, Bavaria, Germany


2000–2001

University of Ljubljana
 Department of Mathematics
Ljubljana, Ljubljana, Slovenia


1996–1997

University of Maribor
 Chair of Mathematics
Maribor, Maribor, Slovenia


1994–1997

University of Szeged
 Institute of Chemistry
Algyő, Csongrád, Hungary


1977–1995

Ruđer Bošković Institute
 Department of Physical Chemistry
Zagrabia, Grad Zagreb, Croatia 
Iowa State University
Ames, Iowa, United States


1993–1994

Academia Sinica
 Institute of Chemistry
T’aipei, Taipei, Taiwan 
Fuzhou University
 Department of Mathematics
Minhou, Fujian, China


1988

Ruder Boskovic Institute
Zagrabia, Grad Zagreb, Croatia
