Let, D = be a directed graph or digraph,then D’ = is a subgraph if ___________(a) A’ ⊂ A and R’ = R ∩ (A’ x A’)(b) A’ ⊂ A and R ⊂ R’ ∩ (A’ x A’)(c) R’ = R ∩ (A’ x A’)(d) A’ ⊆ A and R ⊆ R’ ∩ (A’ x A’)The question was posed to me at a job interview.My enquiry is from Graphs topic in section Graphs of Discrete Mathematics

Let, D = be a directed graph or digraph,then D’ = is a subgraph if

1.	Let, D = be a directed graph or digraph,then D’ = is a subgraph if ___________(a) A’ ⊂ A and R’ = R ∩ (A’ x A’)(b) A’ ⊂ A and R ⊂ R’ ∩ (A’ x A’)(c) R’ = R ∩ (A’ x A’)(d) A’ ⊆ A and R ⊆ R’ ∩ (A’ x A’)The question was posed to me at a job interview.My enquiry is from Graphs topic in section Graphs of Discrete Mathematics
Answer» Correct answer is (a) A’ ⊂ A and R’ = R ∩ (A’ x A’) The best explanation: A directed GRAPH or digraph is an ordered PAIR D where A(is a set of nodes of D) is a set and R(the ELEMENTS of R are the arcs of D) is a binary relation on A. The relation R is CALLED the incidence relation on D. Now, a digraph is a subgraph of D if i)A’ ⊂ A and ii)R’ = R ∩ (A’ x A’). If D’D, D’ is a PROPER subgraph of D.

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