Further Results on Vertex Covering of Powers of Complete Graphs
نویسنده
چکیده
A snake in a graph G is defined to be a closed path in G without proper chords. Let Kd n be the product of d copies of the complete graph Kn. Wojciechowski [13] proved that for any d ≥ 2 the hypercube Kd 2 can be vertex covered with at most 16 disjoint snakes. Alsardary [6] proved that for any odd integer n ≥ 3,d ≥ 2 the graph Kd n can be vertex covered with 2n 3 snakes. We show that for any even integer n ≥ 4, d ≥ 2 the graph Kd n, can be vertex covered with n 3 snakes.
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