The Signless Laplacian Spectral Radius of Unicyclic Graphs with Graph Constraints
نویسندگان
چکیده
منابع مشابه
The Signless Laplacian Spectral Radius of Unicyclic Graphs with Graph Constraints
In this paper, we study the signless Laplacian spectral radius of unicyclic graphs with prescribed number of pendant vertices or independence number. We also characterize the extremal graphs completely.
متن کاملThe Signless Laplacian Spectral Radius of Unicyclic and Bicyclic Graphs with a Given Girth
Let U(n, g) and B(n, g) be the set of unicyclic graphs and bicyclic graphs on n vertices with girth g, respectively. Let B1(n, g) be the subclass of B(n, g) consisting of all bicyclic graphs with two edge-disjoint cycles and B2(n, g) = B(n, g)\B1(n, g). This paper determines the unique graph with the maximal signless Laplacian spectral radius among all graphs in U(n, g) and B(n, g), respectivel...
متن کاملOn the Signless Laplacian Spectral Radius of Unicyclic Graphs with Fixed Matching Number
We determine the graph with the largest signless Laplacian spectral radius among all unicyclic graphs with fixed matching number.
متن کاملOrdering of the signless Laplacian spectral radii of unicyclic graphs
For n ≥ 11, we determine all the unicyclic graphs on n vertices whose signless Laplacian spectral radius is at least n− 2. There are exactly sixteen such graphs and they are ordered according to their signless Laplacian spectral radii.
متن کاملThe Signless Dirichlet Spectral Radius of Unicyclic Graphs
Let G be a simple connected graph with pendant vertex set ∂V and nonpendant vertex set V0. The signless Laplacian matrix of G is denoted by Q(G). The signless Dirichlet eigenvalue is a real number λ such that there exists a function f ̸= 0 on V (G) such that Q(G)f(u) = λf(u) for u ∈ V0 and f(u) = 0 for u ∈ ∂V . The signless Dirichlet spectral radius λ(G) is the largest signless Dirichlet eigenva...
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ژورنال
عنوان ژورنال: Kyungpook mathematical journal
سال: 2009
ISSN: 1225-6951
DOI: 10.5666/kmj.2009.49.1.123