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author:

Hou, J. (Hou, J..) [1] (Scholars:侯建锋) | Liu, G. (Liu, G..) [2]

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) denote the domination number of G. Let G be a toroidal graph with maximum degree Δ(G). In this paper, we show that b(G) ≤ 9. Moveover, if Δ(G) ≠ 6, then b(G) ≤ 8. © 2012 World Scientific Publishing Company.

Keyword:

bondage number; cycle; dominating set; Torus

Community:

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

Reprint 's Address:

  • [Liu, G.]School of Mathematics, Shandong UniversityChina

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Source :

Discrete Mathematics, Algorithms and Applications

ISSN: 1793-8309

Year: 2012

Issue: 3

Volume: 4

0 . 6 0 0

JCR@2023

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 4

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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