Some Graceful Graphs

V. J. Kaneria, H. M. Makadia


We have investigated some general classes of disconnected graceful graphs. We obtain the graceful labeling for $(P_{m} \times P_{n})~\bigcup~(P_{r} \times P_{s})$,~$C_{2f+3}~\bigcup~(P_{m} \times P_{n})~\bigcup~(P_{r} \times P_{s})$, where $ m,~n,~ r, ~s \in N - \{1\} $ and $f= 2(mn + rs) - (m + n + r + s)$. We also show that the tensor product of $P_{n}$ and $P_{3}$, where $n \in N - \{1,~2 \}$ admits graceful labeling. In addition to this we prove that a graph called star of cycle $C^{\star}_{n}$ is graceful, for $n \equiv 0$ (mod $4$).

Full Text:



Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the '' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.