5. For a chess piece Q, the Q-graph is the graph whose vertices are the squares of the chess board and the two squares are adjacent if Q can move from one of them to the other in one move. Find the chromatic number of the Q-graph when Q is (a) the king, (b) a rook, (c) a bishop, (d) a knight.
5. For a chess piece Q, the Q-graph is the graph whose vertices are the squares of the chess board and the two squares are adjacent if Q can move from one of them to the other in one move. Find the chromatic number of the Q-graph when Q is (a) the king, (b) a rook, (c) a bishop, (d) a knight.
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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Transcribed Image Text:5. For a chess piece Q, the Q-graph is the graph whose vertices are the squares of the
chess board and the two squares are adjacent if Q can move from one of them to the other
in one move. Find the chromatic number of the Q-graph when Q is (a) the king, (b) a rook,
(c) a bishop, (d) a knight.
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VIEWStep 5: (d) Finding the chromatic number of the Q graph when Q is a knight:
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