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arXiv · 1509.01841

On the Edge-Balanced Index Sets of Complete Even Bipartite Graphs

Ha Dao·Hung Hua·Michael Ngo·Christopher Raridan
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Abstract

In 2009, Kong, Wang, and Lee introduced the problem of finding the edge-balanced index sets ($EBI$) of complete bipartite graphs $K_{m,n}$, where they examined the cases $n=1$, $2$, $3$, $4$, $5$ and the case $m=n$. Since then the problem of finding $EBI(K_{m,n})$, where $m \geq n$, has been completely resolved for the $m,n=$ odd, odd and odd, even cases. In this paper we find the edge-balanced index sets for complete bipartite graphs where both parts have even cardinality.

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Ha Dao, Hung Hua, Michael Ngo, Christopher Raridan. 2015-09-06. On the Edge-Balanced Index Sets of Complete Even Bipartite Graphs. https://arxiv.org/abs/1509.01841

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