Cartesian graph factorization at logarithmic cost per edge Article DOI:
10.1007/BF01200428 Cite this article as: Aurenhammer, F., Hagauer, J. & Imrich, W. Comput Complexity (1992) 2: 331. doi:10.1007/BF01200428 Abstract
G be a connected graph with n vertices and m edges. We develop an algorithm that finds the (unique) prime factors of G with respect to the Cartesian product in O( m log n) time and O( m) space. This shows that factoring G is at most as costly as sorting its edges. The algorithm gains its efficiency and practicality from using only basic properties of product graphs and simple data structures. Key words Cartesian product graphs Factorization Algorithms Subject classifications 68Q05C References
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