BOUNDING THE DOMINATION NUMBER OF A TREE IN TERMS OF ITS ANNIHILATION NUMBER

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DEHGARDI N.; NOROUZIAN S.; SHEIKHOLESLAMI S.M.

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Journal: TRANSACTIONS ON COMBINATORICS Year:2013 | Volume:2 | Issue:1 Page(s): 9-16

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Information Journal Paper

Title

BOUNDING THE DOMINATION NUMBER OF A TREE IN TERMS OF ITS ANNIHILATION NUMBER

Author(s)

DEHGARDI N. | NOROUZIAN S. | SHEIKHOLESLAMI S.M. | Issue Writer Certificate

Keywords

ANNIHILATION NUMBERQ2

DOMINATING SETQ2

DOMINATION NUMBERQ2

Abstract

A set S of vertices in a graph G is a DOMINATING SET if every vertex of V-S is adjacent to some vertex in S. The DOMINATION NUMBER g (G) is the minimum cardinality of a DOMINATING SET in G. The ANNIHILATION NUMBER a (G) is the largest integer k such that the sum of the first k terms of the non-decreasing degree sequence of G is at most the number of edges in G. In this paper, we show that for any tree T of order n³2, g (T)£3a (T)+2/4, and we characterize the trees achieving this bound.

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APA: Copy

DEHGARDI, N., NOROUZIAN, S., & SHEIKHOLESLAMI, S.M.. (2013). BOUNDING THE DOMINATION NUMBER OF A TREE IN TERMS OF ITS ANNIHILATION NUMBER. TRANSACTIONS ON COMBINATORICS, 2(1), 9-16. SID. https://sid.ir/paper/213740/en

Vancouver: Copy

DEHGARDI N., NOROUZIAN S., SHEIKHOLESLAMI S.M.. BOUNDING THE DOMINATION NUMBER OF A TREE IN TERMS OF ITS ANNIHILATION NUMBER. TRANSACTIONS ON COMBINATORICS[Internet]. 2013;2(1):9-16. Available from: https://sid.ir/paper/213740/en

IEEE: Copy

N. DEHGARDI, S. NOROUZIAN, and S.M. SHEIKHOLESLAMI, “BOUNDING THE DOMINATION NUMBER OF A TREE IN TERMS OF ITS ANNIHILATION NUMBER,” TRANSACTIONS ON COMBINATORICS, vol. 2, no. 1, pp. 9–16, 2013, [Online]. Available: https://sid.ir/paper/213740/en

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