Distance signless Laplacian eigenvalues, diameter, and clique number [PDF]
Discrete Mathematics Letters, 2022 Saleem Khan, Shariefuddin Pirzada
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Signless Laplacian spectral radius for a k-extendable graph
FilomatLet k and n be two nonnegative integers with n ? 0 (mod 2), and let G be a graph of order n with a perfect matching. Then G is said to be k-extendable for 0 ? k ? n?2/2 if every matching in G of size k can be extended to a perfect matching. In this paper, we first establish a lower bound on the signless Laplacian spectral radius of G to ensure that G ...
Sizhong Zhou, Yuli Zhang
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Signless Laplacian spectral radius and fractional matchings in graphs
, 2017 A {\it fractional matching} of a graph $G$ is a function $f$ giving each edge a number in $[0,1]$ so that $\sum_{e\in Γ(v)}f(e)\leq 1$ for each $v\in V(G)$, where $Γ(v)$ is the set of edges incident to $v$. The {\it fractional matching number} of $G$, written $α'_{*}(G)$, is the maximum of $\sum_{e\in E(G)}f(e)$ over all fractional matchings $f$.
Liu, Ruifang, Lu, Yu
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Maxima of the signless Laplacian spectral radius for planar graphs
, 2014 The signless Laplacian spectral radius of a graph is the largest eigenvalue of its signless Laplacian. In this paper, we prove that the graph $K_{2}\nabla P_{n-2}$ has the maximal signless Laplacian spectral radius among all planar graphs of order $n\geq 456$.
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On the signless Laplacian spectral radius of graphs with cut vertices
Linear Algebra and its Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dissecting molecular network structures using a network subgraph approach. [PDF]
PeerJ, 2020 Huang CH +5 more
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Remoteness and distance, distance (signless) Laplacian eigenvalues of a graph. [PDF]
J Inequal Appl, 2018 Jia H, Song H.
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On the Laplacian spectral radii of Halin graphs. [PDF]
J Inequal Appl, 2017 Jia H, Xue J.
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Predictive modeling for physicochemical properties of β-lactam antibiotics through eigenvalue based topological indices and non linear regression techniques. [PDF]
Sci RepYuvaraj A +4 more
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On comparison between the distance energies of a connected graph. [PDF]
HeliyonGanie HA, Rather BA, Shang Y.
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