Construction and properties of the graph F ( b , T ) $F(b,T)$ For positive integers b , D $b,D$ , where b ≤ D $b\le D$ , let T = D + 25 $T=D+25$ and the graph F = F ( b , T ) $F=F(b,T)$ be formed by a union of five complete bipartite graphs with pairs of parts ( { v , v ′ } , V 0 ) $(\{v,v^{\prime} \},{V}_{0})$ , ( { v , v r } , V r ) $(\{v,{v}_{r}\},{V}_{r})$ , ( { v , v l } , V l ) $(\{v,{v}_{l}\},{V}_{l})$ , ( { u , u r } , U r ) $(\{u,{u}_{r}\},{U}_{r})$ , ( { u } , U d )...