The Rubix Cube Theory. Abstract The most common application of graph theory is search problems Using graph theory this project aims to solve one such NPhard problem ie finding a path for a Rubik’s cube to reach the solved state from a scrambled one Rubik’s cube is among one of the fascinating puzzles and solving them has been a challenge given its vast search space of 43.
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[PPT]Consider the R and L movement of the cube The support of R consists of the 9 cubes on the right and the support of L consists of the 9 cubes on the left Moving R doesn’t affect L Therefore LR=RL Now if g and h are two operations whose supports have only a small amount of overlap then g and h will almost commute.
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