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The square of a block graph
Authors:Van Bang Le  Nguyen Ngoc Tuy
Institution:a Universität Rostock, Institut für Informatik, D-18051 Rostock, Germany
b Hong Duc University, Thanh Hoa, Viet Nam
Abstract:The square H2 of a graph H is obtained from H by adding new edges between every two vertices having distance two in H. A block graph is one in which every block is a clique. For the first time, good characterizations and a linear time recognition of squares of block graphs are given in this paper. Our results generalize several previous known results on squares of trees.
Keywords:Graph powers  Squares of block graphs  Tree squares  Good characterizations  Graph algorithms
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