graph G, let Bi(G) max{IS|: SC V(G) and Vu, v E S, d(u, v) 2 i},...

Question

Question

graph G, let Bi(G) max{IS|: SC V(G) and Vu, v E S, d(u, v) 2 i}, 10. (7 points) Given a where d(u, v) is the length of a shor

math Advanced-Math

Answer 1

Answer #1

Solution :

(a) by definition, B₁(G) = maximum cardinality of a subgraph of G where distance between every vertex is atleast 1

= |G|

(b) in B_i(P_n) the subgraph consists of each vertex i distance apart starting from the first.

Thus B_i(P_n) = [n/I] where [.] denotes the box function.

Answer 2

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