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math.CO2026
Vertex-critical co-gem-free graphs
Manoj Belavadi, T. Karthick
Given a graph , let denote the chromatic number of . For , a graph is -- if and for all . A r…
math.CO2026
Structural description of (bull, house)-free graphs
Manoj Belavadi, Chinh T. Hoang
The bull is a graph consisting of a triangle and two pendant edges. The P_5 is the chordless path on five vertices. The house is the complement of a P_5. A graph is k-critical if i…