Let G be a finite simple graph on the vertex set V (G) = {x 1 , . . . , x n } and match(G), min-match(G) and ind-match(G) the matching number, minimum matching number and induced matching number of G, respectively. Letdenote the polynomial ring over a field K and I(G) ⊂ K[V (G)] the edge ideal of G. The relationship between these graph-theoretic invariants and ring-theoretic invariants of the quotient ring K[V (G)]/I(G) has been studied. In the present paper, we study the relationship between match(G), min-match(G), ind-match(G) and dim K[V (G)]/I(G).
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