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author:

Hou, J. (Hou, J..) [1] | Liu, G. (Liu, G..) [2] | Wu, J. (Wu, J..) [3]

Indexed by:

Scopus

Abstract:

The bondage number b(G) of a nonempty graph G is the cardinality of a smallest set of edges whose removal from G results in a graph with domination number greater than γ(G), where γ(G) denotes the domination number of G. Let G be a connected planar graph. In this paper, we shall show that if G is free of i-cycles for some i ε {3,4,5,6}, then b(G) ≤ 6.

Keyword:

Ams subject classification: 05c05; Dominating set; Graph Bondage number; Cycle

Community:

  • [ 1 ] [Hou, J.]Center for Discrete Mathematics, Fuzhou University, Fujian, 350002, China
  • [ 2 ] [Liu, G.]School of Mathematics, Shandong University, Jinan, Shandong, 250100, China
  • [ 3 ] [Wu, J.]School of Mathematics, Shandong University, Jinan, Shandong, 250100, China

Reprint 's Address:

  • [Liu, G.]School of Mathematics, Shandong University, Jinan, Shandong, 250100, China

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Source :

Utilitas Mathematica

ISSN: 0315-3681

Year: 2011

Volume: 84

Page: 189-199

0 . 1 3 7

JCR@2011

0 . 2 7 9

JCR@2020

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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