Title Mixed k-rainbow domination numbers in graphs Type of Research Article Keywords Mixed k-rainbow domination number, Mixed k-rainbow dominating fuction Abstract A mixed k-raibow dominating function if a graph is function from the set V UE to the set of all subsets of the set VUE such that for any element z in Z Researchers jafar amjadi (First Researcher)، Ali Parnian (Second Researcher)، Seyed Mahmoud Sheikholeslami Kavkani (Third Researcher)، N dehgardi (Fourth Researcher)، Lutz Volkmann (Fifth Researcher)