Abstract
Let R be a ring. The non-comaximal graph of R, denoted by NC(R) is an undirected graph whose vertex set is the collection of all non-trivial (left) ideals of R and any two distinct vertices I and J are adjacent if and only if $$I+J\ne R$$ . The concepts of connectedness, independent set, clique and traversability of NC(R) are discussed.
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