List of Articles عدد احاطه‌ای

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  1 - Co-Roman domination in trees
  Rana Khoeilar Marzieh sorudi
  Abstract: Let G=(V,E) be a graph and let f:V(G)→{0,1,2} be a function‎. ‎A vertex v is protected with respect to f‎, ‎if f(v)>0 or f(v)=0 and v is adjacent to a vertex of positive weight‎. ‎The function f is a co-Roman dominating function More

  Abstract: Let G=(V,E) be a graph and let f:V(G)→{0,1,2} be a function‎. ‎A vertex v is protected with respect to f‎, ‎if f(v)>0 or f(v)=0 and v is adjacent to a vertex of positive weight‎. ‎The function f is a co-Roman dominating function‎, ‎abbreviated CRDF if‎: ‎(i) every vertex in V is protected‎, ‎and (ii) each u∈V with positive weight has a neighbor v∈V with f(v)=0 such that the function f_uv:V→{0,1,2}‎, ‎defined by f_uv (v)=1‎, ‎f_uv (u)=f(u)-1 and f_uv (x)=f(x)for x∈V-\{v,u}‎, ‎has no unprotected vertex‎. ‎The weight of f is ω(f)=∑_(v∈V)▒〖f(v)〗‎. ‎The co-Roman domination number of a graph G ‎, ‎denoted by γ_cr G)‎, ‎is the minimum weight of a co-Roman dominating function on G ‎. ‎In this paper, we first present an upper bound on the co-Roman domination number of trees in terms of order, the number of leaves and supports‎. Then we find bounds on the co-Roman domination number of a graph and its other dominating parameters . Manuscript profile
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  2 - Some properties and domination number of the complement of a new graph associated to a commutative ring
  J. amjadi
  In this paper some properties of the complement of a new graph associated with a commutative ring are investigated ....

  In this paper some properties of the complement of a new graph associated with a commutative ring are investigated .... Manuscript profile
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  3 - Edge 2-rainbow domination number and annihilation number in trees
  N. Dehgardi
  A edge 2-rainbow dominating function (E2RDF) of a graph G is a ‎function f from the edge set E(G) to the set of all subsets‎ ‎of the set {1,2} such that for any edge.......................

  A edge 2-rainbow dominating function (E2RDF) of a graph G is a ‎function f from the edge set E(G) to the set of all subsets‎ ‎of the set {1,2} such that for any edge....................... Manuscript profile