A graph can exist in different forms having the same number of vertices, edges, and also the same edge connectivity. Such graphs are called isomorphic graphs. Note that we label the graphs in this chapter mainly for the purpose of referring to them and recognizing them from one another.
How do you know if a graph is isomorphic?
Sometimes even though two graphs are not isomorphic, their graph invariants- number of vertices, number of edges, and degrees of vertices all match.
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You can say given graphs are isomorphic if they have:
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You can say given graphs are isomorphic if they have:
- Equal number of vertices.
- Equal number of edges.
- Same degree sequence.
- Same number of circuit of particular length.
What makes an isomorphic graph?
Two graphs which contain the same number of graph vertices connected in the same way are said to be isomorphic. Formally, two graphs and with graph vertices are said to be isomorphic if there is a permutation of such that is in the set of graph edges iff is in the set of graph edges .
