Graph Sharing Game and the Structure of Weighted Graphs with a Forbidden Subdivision
نویسندگان
چکیده
منابع مشابه
Graph Sharing Game and the Structure of Weighted Graphs with a Forbidden Subdivision
The graph sharing game is played by two players, Alice and Bob, on a connected graph G with non-negative weights assigned to the vertices. Starting with Alice, the players take the vertices of G one by one, in each move keeping the set of all taken vertices connected, until the whole G has been taken. Each player wants to maximize the total weight of the vertices they have gathered. It is prove...
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a {em roman dominating function} on a graph $g = (v ,e)$ is a function $f : vlongrightarrow {0, 1, 2}$ satisfying the condition that every vertex $v$ for which $f (v) = 0$ is adjacent to at least one vertex $u$ for which $f (u) = 2$. the {em weight} of a roman dominating function is the value $w(f)=sum_{vin v}f(v)$. the roman domination number of a graph $g$, denoted by $gamma_r(g)$, equals the...
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 2016
ISSN: 0364-9024
DOI: 10.1002/jgt.22045