Vector Connectivity in Graphs
نویسندگان
چکیده
Motivated by challenges related to domination, connectivity, and information propagation in social and other networks, we initiate the study of the Vector Connectivity problem. This problem takes as input a graph G and an integer kv for every vertex v of G, and the objective is to find a vertex subset S of minimum cardinality such that every vertex v either belongs to S, or is connected to at least kv vertices of S by disjoint paths. If we require each path to be of length exactly 1, we ∗An extended abstract of this paper appeared in the proceedings of the 10th Annual Conference on Theory and Applications of Models of Computation (TAMC 2013) [1].
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