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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
- 33 - 47 (15page)
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초록· 키워드
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In this paper, the concept of accessibility integrity is intro- duced as a new measure of the stability of a graph G and it is de ned as AI(G) = minfjSj + m(G - S)g; where S is an accessible set and m(G - S) is the order of a maximum component of G - S. First, the accessibility integrity of some graphs is obtained and the relations between accessibility integrity and other parameters are determined. Next AI-changing and AI-stable graphs are studied. The properties of AI-stellar and just AI-stellar graph are discussed. It is shown that the accessibility integrity is much stronger characteristic compared to the integrity in determining the stability of a graph. The effect of vertex deletion on the accessibility integrity of a graph is studied. Also a recent problem called the inverse problem is completely solved for the accessibility integrity of a graph by showing that there exists at least one graph with accessibility integrity equal to r for all integers r ≥ 4.
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참고문헌 (20)
참고문헌 신청
A. Alwardi / 2018 / Entire Zagreb indices of graphs / Discrete Math. Algorithms Appl. 10(3):1850037~1850052
C. A. Barefoot / 1987 / Vulnerability in graphs - A comparative survey / J. Combin. Math. Combin. Comput. 1:12~22
L. H. Clark / 1987 / Computational complexity of integrity / J. Combin. Math. Combin. Comput. 2:179~191
P. Dundar / 2001 / Accessibility number and the neighbor-integrity of generalised petersen graphs / N. N. W. Journal 2:167~174
I. Gutman / 2018 / Inverse problem for sigma index / MATCH Commun. Math. Comput. Chem. 79(2):491~508
C. A. Barefoot / 1987 / Vulnerability in graphs - A comparative survey / J. Combin. Math. Combin. Comput. 1:12~22
L. H. Clark / 1987 / Computational complexity of integrity / J. Combin. Math. Combin. Comput. 2:179~191
P. Dundar / 2001 / Accessibility number and the neighbor-integrity of generalised petersen graphs / N. N. W. Journal 2:167~174
I. Gutman / 2018 / Inverse problem for sigma index / MATCH Commun. Math. Comput. Chem. 79(2):491~508
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