13. Given that the matrix 1 0 1 0 1 ГО 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0] 1 1 A = 1 is the adjacency matrix for the graph F, without drawing F, answer the following and justify your answers. You may not use a drawing of F to justify your answers. You may only use properties of the adjacency matrix A.: (a) Is F connected? (b) How many edges are in the graph F? Hint: What does the sum of the entries of A tell you about F? (c) How many paths of length 2 are there from vị to vz in F? Hint: You only need to calculate one entry of a matrix.

13. Given that the matrix 1 0 1 0 1 ГО 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0] 1 1 A = 1 is the adjacency matrix for the graph F, without drawing F, answer the following and justify your answers. You may not use a drawing of F to justify your answers. You may only use properties of the adjacency matrix A.: (a) Is F connected? (b) How many edges are in the graph F? Hint: What does the sum of the entries of A tell you about F? (c) How many paths of length 2 are there from vị to vz in F? Hint: You only need to calculate one entry of a matrix.

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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