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This paper discusses L(2,1)-labeling, a method for assigning non-negative integers to vertices in a graph to avoid interference, particularly in cycle dominated graphs like Diamond graphs and Books. It presents algorithms to compute the L(2,1)-labeling number for these graphs, demonstrating that for Diamond graphs with more than three C4s, the labeling number is 6, while for nC4 with a common vertex, it is 2n+1. The paper also outlines basic results and conjectures related to L(2,1)-labeling in various grap

Author

Safiya

Language

EN