4. Set-up: Consider the graph Q3; we encode the vertices using binary triples of indices: V...
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4. Set-up: Consider the graph Q3; we encode the vertices using binary triples of indices: V = {000,001,010,011,100,101,110,111}. We can then encode each edge based on the entries in common for the endpoints and using the symbol x to denote the entry that changes. For instance, e = 01x joins vertices 010 and 011. The edge set is E = {00x, 0x0, x00, 01x, 0x1, x01, 10x, 1x0,x10, 11x, 1x1, x11}. (A) Construct the 8 12 incidence matrix M with the rows in the order 000, 011, 101, 110, 001, 010, 100, 111 and the columns in the order that E follows in the set-up. It's fine if you don't fill in the zero entries in M. (B) Describe any patterns or trends you see in your matrix M from (A). 4. Set-up: Consider the graph Q3; we encode the vertices using binary triples of indices: V = {000,001,010,011,100,101,110,111}. We can then encode each edge based on the entries in common for the endpoints and using the symbol x to denote the entry that changes. For instance, e = 01x joins vertices 010 and 011. The edge set is E = {00x, 0x0, x00, 01x, 0x1, x01, 10x, 1x0,x10, 11x, 1x1, x11}. (A) Construct the 8 12 incidence matrix M with the rows in the order 000, 011, 101, 110, 001, 010, 100, 111 and the columns in the order that E follows in the set-up. It's fine if you don't fill in the zero entries in M. (B) Describe any patterns or trends you see in your matrix M from (A).
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A The incidence matrix M with the rows in the specified order and columns following the setup is as ... View the full answer
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Posted Date:
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