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Iván Gutman
Iván Gutman (born in 1947) is a Serbian chemist and mathematician. Life and work Gutman was born in Sombor, Yugoslavia in a Bunjevac family. In 1970 he graduated chemistry from the University of Belgrade where he worked a short time as an assistant at the Chemistry Department. From 1971 until 1976 he worked as Research Assistant and Senior Research Assistant at Ruđer Bošković Institute in Zagreb, Department of Physical Chemistry. In 1973 he received M.Sc. degree from the University of Zagreb, in the area of theoretical organic chemistry. In the same year he received a doctorate degree in chemistry from the University of Zagreb. His supervisor was Nenad Trinajstić. From 1977 he worked at the University of Kragujevac, eventually becoming a full research professor in 1982. In 1981 he received a doctorate degree in mathematics from the University of Belgrade. From 2012 he is a professor emeritus at the University of Kragujevac. His research interests are theoretical organic c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chemist
A chemist (from Greek ''chēm(ía)'' alchemy; replacing ''chymist'' from Medieval Latin ''alchemist'') is a scientist trained in the study of chemistry. Chemists study the composition of matter and its properties. Chemists carefully describe the properties they study in terms of quantities, with detail on the level of molecules and their component atoms. Chemists carefully measure substance proportions, chemical reaction rates, and other chemical properties. In Commonwealth English, pharmacists are often called chemists. Chemists use their knowledge to learn the composition and properties of unfamiliar substances, as well as to reproduce and synthesize large quantities of useful naturally occurring substances and create new artificial substances and useful processes. Chemists may specialize in any number of subdisciplines of chemistry. Materials scientists and metallurgists share much of the same education and skills with chemists. The work of chemists is often related to the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spectral Graph Theory
In mathematics, spectral graph theory is the study of the properties of a graph in relationship to the characteristic polynomial, eigenvalues, and eigenvectors of matrices associated with the graph, such as its adjacency matrix or Laplacian matrix. The adjacency matrix of a simple undirected graph is a real symmetric matrix and is therefore orthogonally diagonalizable; its eigenvalues are real algebraic integers. While the adjacency matrix depends on the vertex labeling, its spectrum is a graph invariant, although not a complete one. Spectral graph theory is also concerned with graph parameters that are defined via multiplicities of eigenvalues of matrices associated to the graph, such as the Colin de Verdière number. Cospectral graphs Two graphs are called cospectral or isospectral if the adjacency matrices of the graphs are isospectral, that is, if the adjacency matrices have equal multisets of eigenvalues. Cospectral graphs need not be isomorphic, but isomorphic graphs a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Subotica
Subotica ( sr-cyrl, Суботица, ; hu, Szabadka) is a List of cities in Serbia, city and the administrative center of the North Bačka District in the autonomous province of Vojvodina, Serbia. Formerly the largest city of Vojvodina region, contemporary Subotica is now the second largest city in the province, following the city of Novi Sad. According to the 2011 census, the city itself has a population of 97,910, while the urban area of Subotica (with adjacent urban settlement of Palić included) has 105,681 inhabitants, and the population of metro area (the administrative area of the city) stands at 141,554 people. Name The name of the city has changed frequently over time.History of Subotica Retrieved 8 September 2022. The earliest known written name of the city was ''Zabotka'' or ''Zabatka'', [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academia Europaea
The Academia Europaea is a pan-European Academy of Humanities, Letters, Law, and Sciences. The Academia was founded in 1988 as a functioning Europe-wide Academy that encompasses all fields of scholarly inquiry. It acts as co-ordinator of European interests in national research agencies. History The concept of a 'European Academy of Sciences' was raised at a meeting in Paris of the European Ministers of Science in 1985. The initiative was taken by the Royal Society (United Kingdom) which resulted in a meeting in London in June 1986 of Arnold Burgen (United Kingdom), Hubert Curien (France), Umberto Colombo (Italy), David Magnusson (Sweden), Eugen Seibold (Germany) and Ruurd van Lieshout (the Netherlands) – who agreed to the need for a new body. The two key purposes of Academia Europaea are: * express ideas and opinions of individual scientists from Europe * act as co-ordinator of European interests in national research agencies It does not aim to replace existing national a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Academy Of Mathematical Chemistry
The International Academy of Mathematical Chemistry (IAMC) was founded in Dubrovnik (Croatia) in 2005 by Milan Randić. It is an organization for chemistry and mathematics avocation, and its predecessors have been around since the 1930s. The Academy Members are 88 (2011) from all over the world (27 countries), comprising six scientists awarded the Nobel Prize. Governing Body of the IAMC * 2005-2007: ** President: Alexandru Balaban ** Vice-President: Milan Randić ** Secretary: Ante Graovac ** Treasurer: Dejan Plavšić * 2008-2011: ** President: Roberto Todeschini ** Vice-President: Tomaž Pisanski ** Secretary: Ante Graovac ** Treasurer: Dražen Vikić-Topić ** Member: Ivan Gutman ** Member: Nikolai Zefirov * since 2011: ** President: Roberto Todeschini ** Vice-President: Edward C. Kirby ** Vice-President: Sandi Klavžar ** Secretary: Ante Graovac ** Treasurer: Dražen Vikić-Topić ** Member: Ivan Gutman ** Member: Nikolai Zefirov IAMC yearly meetin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Serbian Academy Of Arts And Sciences
The Serbian Academy of Sciences and Arts ( la, Academia Scientiarum et Artium Serbica, sr-Cyr, Српска академија наука и уметности, САНУ, Srpska akademija nauka i umetnosti, SANU) is a national academy and the most prominent academic institution in Serbia, founded in 1841 as Society of Serbian Letters ( sr, link=no, Друштво србске словесности, ДСС, Društvo srbske slovesnosti, DSS). The Academy's membership has included Nobel laureates Ivo Andrić, Leopold Ružička, Vladimir Prelog, Glenn T. Seaborg, Mikhail Sholokhov, Aleksandr Solzhenitsyn, and Peter Handke as well as, Josif Pančić, Jovan Cvijić, Branislav Petronijević, Vlaho Bukovac, Mihajlo Pupin, Nikola Tesla, Milutin Milanković, Mihailo Petrović-Alas, Mehmed Meša Selimović, Danilo Kiš, Dmitri Mendeleev, Victor Hugo, Leo Tolstoy, Jacob Grimm, Antonín Dvořák, Henry Moore and many other scientists, scholars and artists of Serbian and foreign origin. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Journal Of Graph Theory
The ''Journal of Graph Theory'' is a peer-reviewed mathematics journal specializing in graph theory and related areas, such as structural results about graphs, graph algorithms with theoretical emphasis, and discrete optimization on graphs. The scope of the journal also includes related areas in combinatorics and the interaction of graph theory with other mathematical sciences. It is published by John Wiley & Sons. The journal was established in 1977 by Frank Harary.Frank Harary a biographical sketch at the ACM site The are [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matching Polynomial
In the mathematical fields of graph theory and combinatorics, a matching polynomial (sometimes called an acyclic polynomial) is a generating function of the numbers of matchings of various sizes in a graph. It is one of several graph polynomials studied in algebraic graph theory. Definition Several different types of matching polynomials have been defined. Let ''G'' be a graph with ''n'' vertices and let ''mk'' be the number of ''k''-edge matchings. One matching polynomial of ''G'' is :m_G(x) := \sum_ m_k x^k. Another definition gives the matching polynomial as :M_G(x) := \sum_ (-1)^k m_k x^. A third definition is the polynomial :\mu_G(x,y) := \sum_ m_k x^k y^. Each type has its uses, and all are equivalent by simple transformations. For instance, :M_G(x) = x^n m_G(-x^) and :\mu_G(x,y) = y^n m_G(x/y^2). Connections to other polynomials The first type of matching polynomial is a direct generalization of the rook polynomial. The second type of matching polynomial has remark ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chris Godsil
Christopher David Godsil is a professor and the former Chair at the Department of Combinatorics and mathematical optimization, Optimization in the University of Waterloo Faculty of Mathematics, faculty of mathematics at the University of Waterloo. He wrote the popular textbook on algebraic graph theory, entitled ''Algebraic Graph Theory'', with Gordon Royle, His earlier textbook on algebraic combinatorics discussed distance-regular graphs and association schemes. Background He started the Journal of Algebraic Combinatorics, and was the Editor-in-Chief of the Electronic Journal of Combinatorics from 2004 to 2008. He is also on the editorial board of the Journal of Combinatorial Theory Series B and Combinatorica. He obtained his Ph.D. in 1979 at the University of Melbourne under the supervision of Derek Alan Holton. He wrote a paper with Paul Erdős, so making his Erdős number equal to 1.Paul Erdős, Chris D. Godsil, S. G. Krantz, and Torren ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theoretical Chemistry
Theoretical chemistry is the branch of chemistry which develops theoretical generalizations that are part of the theoretical arsenal of modern chemistry: for example, the concepts of chemical bonding, chemical reaction, valence, the surface of potential energy, molecular orbitals, orbital interactions, and molecule activation. Overview Theoretical chemistry unites principles and concepts common to all branches of chemistry. Within the framework of theoretical chemistry, there is a systematization of chemical laws, principles and rules, their refinement and detailing, the construction of a hierarchy. The central place in theoretical chemistry is occupied by the doctrine of the interconnection of the structure and properties of molecular systems. It uses mathematical and physical methods to explain the structures and dynamics of chemical systems and to correlate, understand, and predict their thermodynamic and kinetic properties. In the most general sense, it is explanation of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graph Energy
In mathematics, the energy of a graph is the sum of the absolute values of the eigenvalues of the adjacency matrix of the graph. This quantity is studied in the context of spectral graph theory. More precisely, let ''G'' be a graph with ''n'' vertices. It is assumed that ''G'' is simple, that is, it does not contain loops or parallel edges. Let ''A'' be the adjacency matrix In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices are adjacent or not in the graph. In the special case of a finite simp ... of ''G'' and let \lambda_i, i = 1 , \ldots , n , be the eigenvalues of ''A''. Then the energy of the graph is defined as: :E(G) = \sum_^n, \lambda_i, . References *. *. *. *. Algebraic graph theory {{graph-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
