Some New Classes of Graceful Lobsters Obtained by Applying Inverse and Component Moving Transformations

  IJMTT-book-cover
 
International Journal of Mathematical Trends and Technology (IJMTT)          
 
© 2011 by IJMTT Journal
Volume-2 Issue-1                           
Year of Publication : 2011
Authors : Debdas Mishra and Pratima Panigrahi

MLA

Debdas Mishra and Pratima Panigrahi"Some New Classes of Graceful Lobsters Obtained by Applying Inverse and Component Moving Transformations"International Journal of Mathematical Trends and Technology (IJMTT),V2(1):6-11.June 2011. Published by Seventh Sense Research Group.

Abstract
We observe that a lobster with diameter at least ve has a unique path H = x0x1 : : : xm with the property that besides the adjacencies in H both x0 and xm are adjacent to the centers of at least one K1;s, where s > 0, and each xi ; 1  i The lobsters appear in [5] also possess this property. However, in the lobsters of [5], at most the vertex x0 is attached to a combination of all three types of branches, whereas in this paper, we give graceful labelings to the lobsters in which not only the vertex x0 but also some (or all) xi ; 1  i  m, may exhibit this property.>References

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Keywords
graceful labeling, lobster, odd and even branches, inverse transformation, component moving transformation .