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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) 제24권 제2호
- 발행연도
- 2021.4
- 수록면
- 223 - 230 (8page)
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초록· 키워드
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The order prime graph OP(Γ) of a nite group Γ is a graph with the vertex set V (OP(Γ)) = Γ and any two distinct vertices a and b are adjacent in OP(Γ) if and only if (o(a), o(b)) = 1. The general order prime graph GOP(Γ) of Γ is a graph with vertex set V (GOP(Γ)) = Γ and any two distinct vertices a and b are adjacent in GOP(Γ) if and only if (o(a), o(b)) = 1 or p, where p is a prime and p < n. In this paper, we discuss some results involving eigenvalues and energy of order prime graphs and general order prime graphs of nite groups. Further, we de ne the order prime graphs of a nite group Γ with respect to subsets(subgroups) of Γ and investigate some properties.
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참고문헌 (19)
참고문헌 신청
A. E. Brouwer / 2011 / Spectra of Graphs-Monograph / Springer
D. M. Cvetkovic / 1979 / Spectra of Graphs / Academic Press
R. Diestel / 2006 / Graph Theory, Graduate texts in Mathematics-Volume 173 / Springer
H. R. Dorbidi / 2016 / A note on the coprime graph of a group / Int. J. Group Theory 5(4):17~22
I. Gutman / 1978 / The energy of a graph / Ber. Math.-Statist. Sekt. Forschungsz. Graz 103:1~22
D. M. Cvetkovic / 1979 / Spectra of Graphs / Academic Press
R. Diestel / 2006 / Graph Theory, Graduate texts in Mathematics-Volume 173 / Springer
H. R. Dorbidi / 2016 / A note on the coprime graph of a group / Int. J. Group Theory 5(4):17~22
I. Gutman / 1978 / The energy of a graph / Ber. Math.-Statist. Sekt. Forschungsz. Graz 103:1~22
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