2. The complement of a graph G = (V, E) is the graph G = (V, E) where E = {{x,y} | x, y = V(G), {x,y} E(G) and x‡y} that is, E is precisely the set of unordered pairs of distinct vertices that do not form an edge in G. tices is +1 on vertices. (b) If I is an independent set in G, what is G[I], the subgraph of G induced by I? (c) Find a relationship between the largest independent set of G and the largest clique of G.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. The complement of a graph G = (V, E) is the graph G = (V, E) where
E = {{x,y} | x, y = V(G), {x,y} E(G) and x‡y}
that is, E is precisely the set of unordered pairs of distinct vertices that do not form an edge
in G.
tices is th
vertices.
(b) If I is an independent set in G, what is G[I], the subgraph of G induced by I?
(c) Find a relationship between the largest independent set of G and the largest clique of
G.
Transcribed Image Text:2. The complement of a graph G = (V, E) is the graph G = (V, E) where E = {{x,y} | x, y = V(G), {x,y} E(G) and x‡y} that is, E is precisely the set of unordered pairs of distinct vertices that do not form an edge in G. tices is th vertices. (b) If I is an independent set in G, what is G[I], the subgraph of G induced by I? (c) Find a relationship between the largest independent set of G and the largest clique of G.
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