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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.21 No.3
- 발행연도
- 2018.1
- 수록면
- 347 - 355 (9page)
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초록· 키워드
오류제보하기
Energy of a graph, rst de ned 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 di erential 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 di erences 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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참고문헌 (23)
참고문헌 신청
C. Adiga / 2007 / More graphs whose energy exceeds the number of vertices / Iranian Journal of Mathematical Sciences and Informatics 2(2):57~62
J. M. Aldous / 2004 / Graphs and Applications
R. Balakrishnan / 2012 / A Textbook of Graph Theory / Springer
C. Berge / 2001 / The Theory of Graphs / Fletcher and Son Ltd
N. L. Biggs / 2001 / Graph Theory. 1736-1936 / Oxford University Press
J. M. Aldous / 2004 / Graphs and Applications
R. Balakrishnan / 2012 / A Textbook of Graph Theory / Springer
C. Berge / 2001 / The Theory of Graphs / Fletcher and Son Ltd
N. L. Biggs / 2001 / Graph Theory. 1736-1936 / Oxford University Press
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