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The spread of the unicyclic graphs
Authors:Yarong Wu  Jinlong Shu  
Affiliation:aDepartment of Mathematics, East China Normal University, Shanghai, 200241, China;bDepartment of Mathematics, Shanghai Maritime University, Shanghai, 200135, China;cKey Laboratory of Geographic Information Science Ministry of Education, East China Normal University, Shanghai, 200241, China
Abstract:Let G be a simple connected graph with n vertices and n edges which we call a unicyclic graph. In this paper, we first investigate the least eigenvalue λn(G), then we present two sharp bounds on the spread s(G) of G.
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