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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.22 No.2
- 발행연도
- 2019.1
- 수록면
- 339 - 350 (12page)
이용수
초록· 키워드
오류제보하기
Let ei be the eccentricity of the vertex vi of a graph G, where ei = maxfd(u; v) : u 2 V (G)g. In this paper, we introduce the eccentricity extended matrix Aeex(G), so that its (i,j)-entry is equal to 1 2 ( ei ej + ej ei ) for vivj 2 E and 0 otherwise. Some properties of the eccentricity extended spectral radius 1 are obtained. The eccentricity extended energy Eeex(G) of G is de ned. Uper and lower bounds for Eeex(G) are established.
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참고문헌 (21)
참고문헌 신청
C. Adiga / 2018 / Upper bounds for the extended energy of graphs and some extended equienergetic graphs / Opuscula Math 38(1):5~13
L. Collatz / 1957 / Spectren endlicher grafen / Abh. Math. Sem. Univ. Ham-burg 21:63~77
D. Cvetkovi / 2010 / An introduction to the theory of graph spectra / Cambridge Univ. Press
K. C. Das / 2017 / On spectral radius and energy of extended adjacency matrix of graphs / Appl. Maths. and comp 296:116~123
N. De / 2015 / Total eccentricity index of the generalized hierar-chical product of graphs / Int. J. Appl. comp. Math 1:503~511
L. Collatz / 1957 / Spectren endlicher grafen / Abh. Math. Sem. Univ. Ham-burg 21:63~77
D. Cvetkovi / 2010 / An introduction to the theory of graph spectra / Cambridge Univ. Press
K. C. Das / 2017 / On spectral radius and energy of extended adjacency matrix of graphs / Appl. Maths. and comp 296:116~123
N. De / 2015 / Total eccentricity index of the generalized hierar-chical product of graphs / Int. J. Appl. comp. Math 1:503~511
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