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Square-Root Finding Problem In Graphs, A Complete Dichotomy Theorem
[article]

2012
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arXiv
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pre-print

Graph G is the square of graph H if two vertices x,y have an edge in G if and only if x,y are of distance at most two in H. Given H it is easy to compute its square H^2. Determining if a given graph G is the square of some graph is not easy in general. Motwani and Sudan proved that it is NP-complete to determine if a given graph G is the square of some graph. The graph introduced in their reduction is a graph that contains many triangles and is relatively dense. Farzad et al. proved the

arXiv:1210.7684v1
fatcat:75g3etssonfa5e3gpqgl4itqna