The Signless Laplacian Spectral Radius of Some Special Bipartite Graphs - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.10, October 2018

The Signless Laplacian Spectral Radius of Some Special Bipartite Graphs ()

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Download as PDF (Size: 531KB) PP. 2159-2165

DOI: 10.4236/jamp.2018.610181 891 Downloads 1,669 Views

Author(s)

Yun Yang

Affiliation(s)

School of Science, University of Shanghai for Science and Technology, Shanghai, China.

ABSTRACT

This paper mainly researches on the signless laplacian spectral radius of bipartite graphs D_r(m₁,m₂;n₁,n₂). We consider how the signless laplacian spectral radius of D_r(m₁,m₂;n₁,n₂) changes under some special cases. As application, we give two upper bounds on the signless laplacian spectral radius of D_r(m₁,m₂;n₁,n₂), and determine the graphs that obtain the upper bounds.

KEYWORDS

The Signless Laplacian Spectral Radius, The Largest Eigenvalue, Bipartite Graph

Share and Cite:

Yang, Y. (2018) The Signless Laplacian Spectral Radius of Some Special Bipartite Graphs. Journal of Applied Mathematics and Physics, 6, 2159-2165. doi: 10.4236/jamp.2018.610181.

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