On Minimum Hub D-distance Spectra of some graphs

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2020 by IJMTT Journal
Volume-66 Issue-12
Year of Publication : 2020
Authors : P.R.Hampiholi, Anjana S Joshi, Vinaya V Deshpande
  10.14445/22315373/IJMTT-V66I12P507

MLA

MLA Style: P.R.Hampiholi, Anjana S Joshi, Vinaya V Deshpande  "On Minimum Hub D-distance Spectra of some graphs" International Journal of Mathematics Trends and Technology 66.12 (2020):44-54. 

APA Style: P.R.Hampiholi, Anjana S Joshi, Vinaya V Deshpande(2020). On Minimum Hub D-distance Spectra of some graphs. International Journal of Mathematics Trends and Technology, 44-54.

Abstract
In this paper, the concept of minimum hub D-distance matrix MHDd(G) of a connected graph G is introduced and minimum hub D-distance spectra of some graphs are computed.

Reference

[1] Reddy Babu, D. and P.L.N. Varma D-distance in graphs, Golden Research Thoughts, 2(2013), 53–58.
[2] Philip J. Davis, Circulant Matrices, John Wiley & Sons, NewYork-Chichester-Brisbane, (1979).
[3] S.R.Jog, P.R.Hampiholi and Anjana S Joshi, On Energy of some graphs, Annals of Pure and Applied Mathematics, (2013), 15–21.
[4] Frank Harary, Graph Theory, Addison-Welsy Publishing Co., Reading, Mass-Menlo Park, Calif. London, (1969).
[5] Roger A. Horn and Charles R. Johnson, Topics in matrix analysis, Cambridge University Press, Cambridge, (1994).
[6] Iswar Mahato, R. Gurusamy, M.Rajesh Kannan, and S. Arockiaraj Spectra of eccentricity matrices of graphs, Discrete Appl.Math., 285(2020), 252–360.
[7] Cam McLeman and Erin McNicholas, Spectra of coronae, Linear Algebra Appl., 435(5) (2011), 998–1007.
[8] Jianfeng Wang, Mei Lu, Francesco Belardo, and Milan Randic, The anti- adjacency matrix of a graph: Eccentricity matrix, Discrete Appl. Math., 251(2018), 299–309.
[9] M.Walsh,The hub number of graphs,International Journal of Mathematics nd Computer Science,1 (2006),117-124
[10] Veena Mathad,Sultan Senan Mahd,The minimum hub distance energy of a graph, International Journal of Computer Applications,Volume 125-No.13(2015)
[11] I Gutman, The energy of graphs,Ber.Math-Statist.Sekt.Forschungsz,Graz,103(1978),1-22
[12] S.B.Bozkurt ,A.D.Gungor and Z.Zhou,Note on distance energy of graphs, MATCH Communication in Mathmaticl and in Computer Chemistry,64(2020),129-134
[13] S.B.Bozkurt ,A.D.Gungor,On distanc spectral rdius and distance energy of graphs,Linear,Multi Linear Algebra,59(2011),365-370.

Keywords : Minimum hub number, D- distance, minimum hub D-distance matrix, minimum hub D-distance spectra.