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Minimal configuration bicyclic graphs

Linear and Multilinear Algebra, 2012
The nullity η(G) of a graph G is the multiplicity of zero as an eigenvalue of the adjacency matrix of G. If η(G) = 1, then the core of G is the subgraph induced by the vertices associated with the nonzero entries of the kernel eigenvector. The set of vertices which are not in the core is the periphery of G.
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Bicyclic Graphs with Nullity n−5

2013
Let \( G \) be a simple undirected graph on n vertices, \( A(G) \) be its adjacency matrix. The nullity \( \eta (G) \) of the graph \( G \) is the multiplicity of the eigenvalue zero in its spectrum. In this paper, we characterize the bicyclic graphs with nullity \( n - 5 \).
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Extremal Arithmetic–Geometric Index of Bicyclic Graphs

Circuits, Systems, and Signal Processing, 2023
Baohua Niu   +2 more
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Bicyclic oriented graphs with skew-rank 6

Applied Mathematics and Computation, 2015
Ligong Wang, Qiannan Zhou
exaly  

The nullity of bicyclic signed graphs

Linear and Multilinear Algebra, 2014
Yi-Zheng Fan
exaly  

Maximizing spectral radius of unoriented Laplacian matrix over bicyclic graphs of a given order

Linear and Multilinear Algebra, 2008
Yi-Zheng Fan, Bit-Shun Tam
exaly  

Bicyclic oriented graphs with skew-rank 2 or 4

Applied Mathematics and Computation, 2015
Guihai Yu
exaly  

On the signless Laplacian Estrada index of bicyclic graphs

Discrete Applied Mathematics, 2018
Wenjie Ning, Mei Lu
exaly  

Bicyclic graphs with maximal revised Szeged index

Discrete Applied Mathematics, 2013
Xueliang Li
exaly  

Bicyclic Inverses of Bicyclic Graphs with a Unique Perfect Matching

Bulletin of the Malaysian Mathematical Sciences Society
Debajit Kalita, Md Isheteyak Zaffer
openaire   +1 more source

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