College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN: 9781305652231
Author: R. David Gustafson, Jeff Hughes
Publisher: Cengage Learning
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3. a. Define the following with an example; i. paths ii. simple graph b. Draw the graph with the adjacency matrix го 3 21 3 1 1 with respect to the 1 1 L2 1 2 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?
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Transcribed Image Text:3. a. Define the following with an example; i. paths ii. simple graph b. Draw the graph with the adjacency matrix го 3 21 3 1 1 with respect to the 1 1 L2 1 2 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?
LECTURER: Edwin Mireku 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 d 1 S m b i. Find the maximal elements. ii. Find the minimal elements. iii. Is there a greatest element? iv. Is there a least element? V. Find all upper bounds of {m, k, s}. vi. Find all lower bounds of {c, d, t}. vii. Find the greatest lower bound of {u, k, m} if it exists. viii. Find the least upper bound of {b, k, t} if it exists.
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Transcribed Image Text:LECTURER: Edwin Mireku 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 d 1 S m b i. Find the maximal elements. ii. Find the minimal elements. iii. Is there a greatest element? iv. Is there a least element? V. Find all upper bounds of {m, k, s}. vi. Find all lower bounds of {c, d, t}. vii. Find the greatest lower bound of {u, k, m} if it exists. viii. Find the least upper bound of {b, k, t} if it exists.
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College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
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