Browsing by Author "Swaminathan, V."

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Some results on the distance r-b-coloring in graphs

Jothilakshmi, G.; Pushpalatha, A. P.; Suganthi, S.; Swaminathan, V. (Işık University Press, 2016)

Given a positive integer r, two vertices u, v ∈ V (G) are r- independent if d(u, v) > r. A partition of V (G) into r-independent sets is called a distance r-coloring. A study of distance r-coloring and distance r-b-coloring ...
Trivially extendable graphs

Angaleeswari, K.; Sumathi, P.; Swaminathan, V. (Işık University Press, 2015-03-24)

Let G be a simple graph. Let k be a positive integer. G is said to be k-extendable if every independent set of cardinality k is contained in a maximum independent set of G. G is said to be trivially extendable if G is not ...