3. а) Define the following terms as used in graph theory: i) regular graph ii) simple circuit 1 21 1 be the adjacency matrix for the graph G, with [1 b) Let A 1 L2 1 vertices v1, V2, V3. i) Find the number of walks of length 2, from vị to vị. ii) Draw the graph G and label the edges e; (i = 1, 2, 3, ...) iii) Write down the walks of length 2 from vị to vị. Which ones are simple circuits? [1 1 1 01 1 c) The matrix M represents the relations R defined a 1 1 11 1. the set A = {1, 2, 3, 4}. i) List the ordered pairs in the relation R. ii) Draw the graph representing the relation R. d) How many edges does a 50-regular graph with 100 vertices have?

3. а) Define the following terms as used in graph theory: i) regular graph ii) simple circuit 1 21 1 be the adjacency matrix for the graph G, with [1 b) Let A 1 L2 1 vertices v1, V2, V3. i) Find the number of walks of length 2, from vị to vị. ii) Draw the graph G and label the edges e; (i = 1, 2, 3, ...) iii) Write down the walks of length 2 from vị to vị. Which ones are simple circuits? [1 1 1 01 1 c) The matrix M represents the relations R defined a 1 1 11 1. the set A = {1, 2, 3, 4}. i) List the ordered pairs in the relation R. ii) Draw the graph representing the relation R. d) How many edges does a 50-regular graph with 100 vertices have?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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