3. a. Define the following with an example; i. paths ii. simple graph 27 1 b.Draw the graph with the adjacency matrix 1 with 2 respect to the 1 1 12 1 ordering of vertices, a, b, c, d. i. Find the degree of each vertex in your graph from part (a) above. ii. How many walks of length 2 are there from the vertex c to c? How many of these walks are paths? 4. a. Define the following Terms giving one example each: i. Partial Ordering Relations ii. Equivalence relations b. Answer these questions for the partial order represented by the following Hasse diagram. a og i. Find the maximal elements. ii. Find the minimal elements. iii. Is there a greatest element? iv. Is there a least element?
3. a. Define the following with an example; i. paths ii. simple graph 27 1 b.Draw the graph with the adjacency matrix 1 with 2 respect to the 1 1 12 1 ordering of vertices, a, b, c, d. i. Find the degree of each vertex in your graph from part (a) above. ii. How many walks of length 2 are there from the vertex c to c? How many of these walks are paths? 4. a. Define the following Terms giving one example each: i. Partial Ordering Relations ii. Equivalence relations b. Answer these questions for the partial order represented by the following Hasse diagram. a og i. Find the maximal elements. ii. Find the minimal elements. iii. Is there a greatest element? iv. Is there a least element?
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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