A characterization of star-perfect graphs

A characterization of star-perfect graphs

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Motivated by Berge perfect graphs, we define star-perfect graphs and characterize them.For a finite simple graph G(V, E), let [Formula: see text] denote the minimum number of induced stars contained in G such that the union of their vertex sets is V(G), and let [Formula: see text] denote the maximum number of vertices in G such that no two of them are contained in the same induced star of 30hh bikini G.We call a graph G star-perfect if [Formula: see text], for every induced subgraph H of G.A graph G is star-perfect if and only if G is [Formula: see text]-free, for every [Formula: see text].

A bipartite graph G is star-perfect if and only if every induced cycle in G is of length [Formula: see text].The minimum parameter [Formula: see text] and the maximum parameter [Formula: see text] iphone 13 pro max price florida have been extensively studied in various contexts.