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We consider the following clustering problems: given a general undirected graph, partition its vertices into disjoint clusters such that each cluster forms a clique and the number of edges within the clusters is maximized (Max-ECP), or the number of edges between clusters is minimized (Min-ECP). These problems arise naturally in the DNA clone(More)
We consider deterministic broadcasting in <i>geometric radio networks</i> (GRN) whose nodes know only a limited part of the network Nodes of a GRN are situated in the plane and each of them is equipped with a transmitter of some range <i>r</i>. A signal from this node can reach all nodes at distance at most <i>r</i> from it but if a node is situated within(More)
We present a randomized NC solution to the problem of constructing a maximum (cardinality) f-matching. As a corollary, we obtain a randomized NC algorithm for the problem of constructing a graph satisfying a sequence d 1 ; d 2 ;...; d n of equality degree constraints. We provide an optimal NC algorithm for the decision version of the degree sequence problem(More)