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- 저자 : FERIHA CELIK (검색결과 3 건)
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CHARACTERISTIC POLYNOMIALS OF SUBDIVISION GRAPHS
FERIHA CELIK,Musa DEMIRCI,SADIK DELEN,Ugur ANA,Ismail Naci CANGUL 장전수학회 2021 Advanced Studies in Contemporary Mathematics Vol.31 No.1
Energy of a graph, rstly dened by E. Huckel is an important sub area of graph theory with numerous applications in Chemistry and Physics together with all areas they are used as fundamental methods. Schrodinger equation is a second order dierential equation which include the energy of the corresponding system. Subdivision of a graph is a method of obtaining a derived graph from a given one which helps to calculate some properties of a complex molecular graph by calculating the same for some easier molecular graph. Unlike many other areas in graph theory, to obtain a general result in spectral graph theory is indeed quite dicult and mostly impossible. In this article, as a result of this idea, the spectral polynomials and their reccurence relations of the subdivision graphs of some well-known graphs are studied. Also the energy of some subdivision graphs are obtained by using the denition of energy. A new relation for the characteristic polynomial of a cyclic graph in terms of the triangular numbers is also obtained.
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Formulae and recurrence relations on spectral polynomials of some graphs
FERIHA CELIK,Ismail Naci CANGUL 장전수학회 2017 Advanced Studies in Contemporary Mathematics Vol.27 No.3
Energy of a graph, firstly defined by E. Hückel as the sum of absolute values of the eigenvalues of the adjacency matrix while searching for a method to obtain approximate solutions of Schrödinger equation for a class of organic molecules, is an important sub area of graph theory. Schrödinger equation is a second order differantial equation which include the energy of the corresponding system. Here we obtain the polynomials and recurrence relations for the spectral (characteristic) polynomials of some graphs.
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SOME RECURRENCE RELATIONS FOR THE ENERGY OF CYCLE AND PATH GRAPHS
FERIHA CELIK,Ismail Naci CANGUL 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.3
Energy of a graph, rst dened by E. Hückel as the sum of absolute values of the eigenvalues of the adjacency matrix while searching for a method to obtain approximate solutions of Schrödinger equation for a class of organic molecules, is an important sub area of graph theory. This equation is a second order dierential equation which include the energy of the corresponding system. The energy of many graph types are well-known in literature. To know the energy of a molecule is an important aspect in Chemical Graph Theory. Two classes, cycles and paths, show serious dierences from others as the eigenvalues are trigonometric algebraic numbers which makes it difficult to calculate the energy of the corresponding graph. Here we obtain the polynomials and recurrence relations for the spectral polynomials of cycles and paths to nd the energy of larger graphs easier than the classical way.
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