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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.31 No.1
- 발행연도
- 2021.1
- 수록면
- 49 - 66 (18page)
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초록· 키워드
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In this paper, maximum degree energy of graphs is studied.
After giving some preliminary new results, bounds for the maximum degree eigenvalues are obtained for a general graph. Also bounds on the maximum degree eigenvalues of some frequently used graph classes are given by means of combinatorial, number theoretical and analysis methods. Many proofs are established by means of some result obtained by Adiga and Smitha. Maximum degree energy is calculated for any given simple graph and also for some classes of graphs and obtained relations with others. Special emphasis is given to unicyclic graphs.
Several unicyclic graph classes are de ned and their maximum degree eigenvalues and energy are calculated.
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참고문헌 (15)
참고문헌 신청
I. Gutman / 1978 / The energy of a graph / Ber. Math.-Stats. Sekt. Forsch. Graz 103(100-105):22
I. Gutman / 2000 / No Huckel graph is hyperenergetic / J. Serb. Chem. Soc. 65:799~801
H. B. Walikar / 2001 / Graph Theory Notes / New York Acad. Sci. 41:14~16
I. Gutman / 1992 / Remark on the moment expansion of total p-electron energy / Theor. Chim. Acta 83:313~318
I. Gutman / 2001 / The Energy of a Graph: Old and New Results, Algebraic Combinatorics and Applications / Springer :197~212
I. Gutman / 2000 / No Huckel graph is hyperenergetic / J. Serb. Chem. Soc. 65:799~801
H. B. Walikar / 2001 / Graph Theory Notes / New York Acad. Sci. 41:14~16
I. Gutman / 1992 / Remark on the moment expansion of total p-electron energy / Theor. Chim. Acta 83:313~318
I. Gutman / 2001 / The Energy of a Graph: Old and New Results, Algebraic Combinatorics and Applications / Springer :197~212
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