ISSN: 2349-5162

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Published in:

Volume 6 Issue 1
January-2019
eISSN: 2349-5162

Unique Identifier

JETIRR006005

Page Number

31-37

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Title

Complementary Tree Domination in Subdivision graphs

ISSN

2349-5162

Cite This Article

" Complementary Tree Domination in Subdivision graphs", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 1, page no.31-37, January-2019, Available :http://www.jetir.org/papers/JETIRR006005.pdf

Abstract

The join matrix [S] fonSwithrespect to a function f : P → C is defined as ([S]f)ij= f (xi˅xj).If f(xi˅xj) = 2xi˅xj-1, then the n × n join matrix obtained is called the Mersenne join matrix on S. A recursive structure theorem for Mersenne join matrices on A-sets is verified and a recursive formula for det[S]fand for 〖〖[S]〗_f〗^(-1)on A-sets is also verified. The recursive formulaealso yield explicit formulae, e.g. the known determinant and inverse formulae on chainsand a-sets

Key Words

Join Matrices, Mersenne Join Matrices, a- Set, A-Set

Cite This Article

" Complementary Tree Domination in Subdivision graphs", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 1, page no. pp31-37, January-2019, Available at : http://www.jetir.org/papers/JETIRR006005.pdf

Publication Details

Published Paper ID: JETIRR006005
Registration ID: 192950
Published In: Volume 6 | Issue 1 | Year January-2019
DOI (Digital Object Identifier):
Page No: 31-37
ISSN Number: 2349-5162

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Cite This Article

" Complementary Tree Domination in Subdivision graphs", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 1, page no. pp31-37, January-2019, Available at : http://www.jetir.org/papers/JETIRR006005.pdf




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