On super edge-graceful trees of diameter four

Details On super edge-graceful trees of diameter four On super edge-graceful trees of diameter four

2011-06-15

arxiv.org/abs/1106.3063v1

Mathematics

Combinatorics

17 pages, 7 figures

Scientific paper

In "On the super edge graceful trees of even orders," Chung, Lee, Gao, and Schaffer posed the following problem: Characterize trees of diameter 4 which are super edge-graceful. In this paper, we provide super edge-graceful labelings for all caterpillars and even size lobsters of diameter 4 which permit such labelings. We also provide super edge-graceful labelings for several families of odd size lobsters of diameter 4.

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