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## On the edge-balanced index sets of product graphs

### Abstract

We characterize strongly edge regular product graphs and find the edge-balanced index sets of complete bipartite graphs without a perfect matching, the direct product $K_n\times K_2$. We also prove a lemma that is helpful to determine the edge-balanced index sets of regular graphs.Comment: 8 page

Topics: Mathematics - Combinatorics
Year: 2011
OAI identifier: oai:arXiv.org:1103.4994