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   Graphs with large roman domination number  
   
نویسنده ahangar h.a. ,khaibari m.
منبع malaysian journal of mathematical sciences - 2017 - دوره : 11 - شماره : 1 - صفحه:71 -81
چکیده    A roman dominating function (rdf) on a graph g = (v,e) is a function f: v(g) → (0,1,2) satisfying the condition that every vertex with label 0 is adjacent to a vertex with label 2. the weight of an rdf f is w(f) = ∑v∈v f (v). the roman domination number of g is the minimum weight of an rdf in g. in this article,we characterize all connected graphs g of order n whose roman domination number is n-1 or n-2.
کلیدواژه Roman dominating function; Roman domination number
آدرس department of mathematics,babol noshirvani university of technology, ایران, department of mathematics,babol noshirvani university of technology, ایران
 
     
   
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