Results 81 to 90 of about 42,138 (164)
On some forests determined by their Laplacian or signless Laplacian spectrum
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Slobodan K. Simic, Zoran Stanic
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Molecular structures. Abstract Malaria has a wide impact on the healthcare system, affecting everyone from hyperendemic areas who dearth access to medical treatment to international tourists returning to nonendemic regions with tertiary referral care. Implementing timely and accurate diagnosis is necessary to stop malaria's growing global effect, which
Nadeem ul Hassan Awan +5 more
wiley +1 more source
A graph is said to be borderenergetic (-borderenergetic, respectively) if its energy (Laplacian energy, respectively) equals the energy (Laplacian energy, respectively) of the complete graph .
Qingyun Tao, Yaoping Hou
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Nordhaus-Gaddum Type Inequalities for Laplacian and Signless Laplacian Eigenvalues [PDF]
Let $G$ be a graph with $n$ vertices. We denote the largest signless Laplacian eigenvalue of $G$ by $q_1(G)$ and Laplacian eigenvalues of $G$ by $\mu_1(G)\ge\cdots\ge\mu_{n-1}(G)\ge\mu_n(G)=0$. It is a conjecture on Laplacian spread of graphs that $\mu_1(G)-\mu_{n-1}(G)\le n-1$ or equivalently $\mu_1(G)+\mu_1(\overline G)\le2n-1$.
F. Ashraf, Behruz Tayfeh-Rezaie
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Abstract Landscape functions are a popular tool used to provide upper bounds for eigenvectors of Schrödinger operators on domains. We review some known results obtained in the last 10 years, unify several approaches used to achieve such bounds, and extend their scope to a large class of linear and nonlinear operators. We also use landscape functions to
Delio Mugnolo
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Signless Laplacian eigenvalues and circumference of graphs
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Jianfeng Wang 0002, Francesco Belardo
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Distance Spectra of Some Double Join Operations of Graphs
In literature, several types of join operations of two graphs based on subdivision graph, Q‐graph, R‐graph, and total graph have been introduced, and their spectral properties have been studied. In this paper, we introduce a new double join operation based on (H1, H2)‐merged subdivision graph.
B. J. Manjunatha +4 more
wiley +1 more source
On maximum signless Laplacian Estrada index of graphs with given parameters II
The signless Laplacian Estrada index of a graph G is defined as SLEE(G) = ∑ni = 1eqi where q1, q2, …, qn are the eigenvalues of the signless Laplacian matrix of G.
Ramin Nasiri +3 more
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Bounds on the index of the signless Laplacian of a graph
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Carla Silva Oliveira +3 more
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The signless Laplacian spectral radii of modified graphs [PDF]
In this paper, various modications of a connected graph G are regarded as perturbations of its signless Laplacian matrix. Several results concerning the resulting changes to the signless Laplacian spectral radius of G are obtained by solving ...
Li, Jianxi, Guo, Ji-Ming
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