On square sum labelings of graphs
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Abstract. Let G = (V,E) be an (n,m)-graph. A graph G is said to admit a square sum labeling, if its vertices can be labeled with distinct non-negative integers so that the values on the edges, obtained as the sum of the labels of their end vertices, are the first m squares. In this paper we show that certain classes of graphs admit square sum labeling and also that certain classes of graphs do not admit square sum labeling.
Abstract
Abstract. Let G = (V,E) be an (n,m)-graph. A graph G is said to admit a square sum labeling, if its vertices can be labeled with distinct non-negative integers so that the values on the edges, obtained as the sum of the labels of their end vertices, are the first m squares. In this paper we show that certain classes of graphs admit square sum labeling and also that certain classes of graphs do not admit square sum labeling.
참고문헌 (6)
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- S. K. Vaidya, "Some important results on triangular sum graphs", Applied Mathematical Science, 3(36), pp.1763~1772 (2009)
- D. B. West, "Introduction to Graph Theory" (2001), Pearson Education
