Sufficient conditions for maximally connected dense graphs
Discrete Mathematics
The connectivity of large digraphs and graphs
Journal of Graph Theory
Bipartite graphs and digraphs with maximum connectivity
Discrete Applied Mathematics
Degree sequence conditions for maximally edge-connected graphs and digraphs
Journal of Graph Theory
Graph Theory With Applications
Graph Theory With Applications
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Let G be a connected graph with order n=|V(G)|, minimum degree @d=@d(G) and edge-connectivity @l=@l(G). A graph is said to be maximally edge-connected if @l=@d. In this paper, we present two sufficient conditions for (triangle-free) graphs to be maximally edge-connected in terms of its order and the Zeroth-order general Randic index.