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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.4
- 발행연도
- 2019.1
- 수록면
- 593 - 608 (16page)
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초록· 키워드
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Let B(G) denote the set of all blocks of a graph G. A vertex v 2 V and a block b 2 B(G) are said to block dominate (b-dominate) each other if v is in the block b. A set D V is said to be a vertex block dominating set (VBD- set) if every block in G is b-dominated by some vertex in D. The vertex block domination number vb = vb(G) is the cardinality of the minimum vertex block dominating set of G. In this paper we introduce new kind of graph energy, the minimum vertex block dominating energy of the graph denoting it as Evb(G). It depends both on the underlying graph of G and the particular minimum vertex block dominating set ( vb-set) of G. Upper and lower bounds for Evb(G) are established and we also obtain energy of some family of graphs.
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참고문헌 (16)
참고문헌 신청
C. Adiga / 2012 / The minimum covering energy of a graph / Kragujevac J. Sci 34:39~56
R.B. Bapat / 2011 / Graphs and Matrices / Hindustan Book Agency
R.B. Bapat / 2011 / Energy of a graph is never be an odd integer / Bull. Kerala Math. Assoc. 1:129~132
C. Berge / 1962 / Theory of Graphs and its Applications / Methuen
P.G. Bhat / 2013 / Relationship between Block Domination pa-rameters of a graph, Discrete Mathematics / Algorithms and Applications 5(3):13500181~13500110
R.B. Bapat / 2011 / Graphs and Matrices / Hindustan Book Agency
R.B. Bapat / 2011 / Energy of a graph is never be an odd integer / Bull. Kerala Math. Assoc. 1:129~132
C. Berge / 1962 / Theory of Graphs and its Applications / Methuen
P.G. Bhat / 2013 / Relationship between Block Domination pa-rameters of a graph, Discrete Mathematics / Algorithms and Applications 5(3):13500181~13500110
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