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Spectral Properties of the Harary Signless Laplacian and Harary Incidence Energy

open access: yesMathematics
Let X be a partitioned matrix and let B its equitable quotient matrix. Consider a simple, undirected, connected graph G of order n. In this paper, we employ a technique based on quotient matrices derived from block-partitioned structures to establish new
Luis Medina   +2 more
doaj   +1 more source

Distance signless Laplacian eigenvalues, diameter, and clique number [PDF]

open access: yesDiscrete Mathematics Letters, 2022
Saleem Khan, Shariefuddin Pirzada
doaj   +1 more source

Some Turán-type results for signless Laplacian spectral radius

open access: yes
Half a century ago, Bollobás and Erdős [Bull. London Math. Soc. 5 (1973)] proved that every $n$-vertex graph $G$ with $e(G)\ge (1- \frac{1}{k} + \varepsilon )\frac{n^2}{2}$ edges contains a blowup $K_{k+1}[t]$ with $t=Ω_{k,\varepsilon}(\log n)$. A well-known theorem of Nikiforov [Combin. Probab. Comput.
Zheng, Jian, Li, Yongtao, Fan, Yi-Zheng
openaire   +2 more sources

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