A Class of Arbitrarily Graceful Planar Bipartite Graphs

Sin-Min Lee1, Sie-Keng Tan2
1Department of Mathematics and Computer Science San Jose State University San Jose, CA 95192, US
2Department of Mathematics National University of Singapore Kent Ridge, Singapore 0511

Abstract

We exhibit here an infinite family of planar bipartite graphs which admit a \(k\)-graceful labeling for all \(k \geq 1\).