R-joins of two regular graphs
References
- Chung F.R.K. Spectral Graph Theory CBMS. Reg. Conf. Ser. Math. vol. 92 (1997) AMS. providence, RI.
- Banerjee A. Jost J. On the spectrum of the normalized graph Laplacian Linear Algebra Appl. 428 2008 3015 3022
- Butler S. Grout J. A construction of cospectral graphs for the normalized Laplacian Electron. J. Combin. 18 2011 231
- Li H.H. Li J.S. A note on the normalized Laplacian spectra Taiwanese J. Math. 15 2011 129 139
- Harary F. Graph Theory 1969 Addison-Wesley Reading, PA
- Butler S. (Ph.D. dissertation) Eigenvalues and Structures of Graphs 2008 University of California San Diego
- Cvetkovic D. Rowlinson P. Simic S. An Introduction to the Theory of Graph Spectra 2009 Cambridge University Press
- Xie P. Zhang Z. Comellas F. The normalized Laplacian spectrum of subdivisions of a graph Appl. Math. Comput. 286 2016 250 256
- Cvetkovic D.M. Doob M. Sachs H. Spectra of Graphs–Theory and Applications third ed. 1995 Johann Ambrosius Barth Heidelberg
- X.G. Liu, Z.H. Zhang, Spectra of subdivision-vertex and subdivision-edge joins of graphs, (submitted for publication), http://arxiv:1212.0619.
- Liu X. Zhou J. Bu C. Resistance distance and Kirchhoff index of R-vertex join and R-edge join of two graphs Discrete Appl. Math. 187 2015 130 139
- Indulal G. Spectra of two new joins of graphs and infinite families of integral graphs Kragujevac J. Math. 36 2012 133 139
- Godsil C. Royle G. Algebraic Graph Theory 2001 Springer New York
- Cui S.Y. Tian G.X. The spectrum and the signless Laplacian spectrum of coronae Linear Algebra Appl. 437 2012 1692 1703
- McLeman C. McNicholas E. Spectra of coronae Linear Algebra Appl. 435 2011 998 1007
- Vandam E.R. Haemers W.H. Which graphs are determined by their spectrum? Linear Algebra Appl. 373 2003 241 272