图的弱罗马控制

陈越奋, 杨剑. 图的弱罗马控制[J]. 信阳师范学院学报(自然科学版), 2012, 25(1): 9-13.

引用本文:

陈越奋, 杨剑. 图的弱罗马控制[J]. 信阳师范学院学报(自然科学版), 2012, 25(1): 9-13.

CHEN Yue-fen, 河南交通职业技术学院. Weak Roman Domination in Graphs[J]. Journal of Xinyang Normal University (Natural Science Edition), 2012, 25(1): 9-13.

Citation:

CHEN Yue-fen, 河南交通职业技术学院. Weak Roman Domination in Graphs[J]. Journal of Xinyang Normal University (Natural Science Edition), 2012, 25(1): 9-13.

Weak Roman Domination in Graphs

摘要: 图的弱罗马控制数是图的弱罗马控制函数的最小权,记为γr(G).用逻辑推理和逐步分析法,刻画了弱罗马控制数等于最小控制数加1的图(即γr(G)=γ(G)+1)的特征.

Abstract: The weak Roman domination number of G,denoted by γr(G),is the minimum weight of a weak Roman dominating function in G.The graphs γr(G)=γ(G)+1 was characterized by the devices of logicality and analysis.

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