by using python do the following problems Problem 4. Define the notion of isomorphism and vertex-transitivity for digraphs. Then prove thatevery vertex-transitive digraph is diregular.Problem 5. Show that every nontrivial acyclic graph has at least two vertices of degree less thantwo.

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Answered: Problem 4. Define the notion of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Problem 4. Define the notion of isomorphism and vertex-transitivity for digraphs. Then prove that every vertex-transitive digraph is diregular. Problem 5. Show that every nontrivial acyclic graph has at least two vertices of degree less than two.