On edge graceful labelings of disjoint unions of $2r$-regular edge graceful graphs

Details On edge graceful labelings of disjoint unions of $2r$-regular edge graceful graphs On edge graceful labelings of disjoint unions of $2r$-regular edge graceful graphs

2006-05-09

arxiv.org/abs/math/0605234v1

Mathematics

Combinatorics

Scientific paper

We prove that if $G$ is a $2r$-regular edge graceful $(p,q)$ graph with
$(r,kp)=1$ then $kG$ is edge graceful for odd $k$. We also prove that for
certain specific classes of $2r$-regular edge graceful graphs it is possible to
drop the requirement that $(r,kp)=1$

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