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On the signless Laplacian spectrum of k -uniform hypergraphs
Linear and Multilinear AlgebraLet $\mathcal{H}$ be a connected $k$-uniform hypergraph on $n$ vertices and $m$ hyperedges. In [A.~Banerjee, On the spectrum of hypergraph, Linear Algebra and its Application, 614(2021), 82--110], Anirban Banerjee introduced a new adjacency matrix for hypergraphs.
Bapat, R. B., Saha, S. S., Panda, S. K.
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Determining some graph joins by the signless Laplacian spectrum
Discrete Applied MathematicsA graph is determined by its signless Laplacian spectrum if there is no other non-isomorphic graph sharing the same signless Laplacian spectrum. Let $C_l$, $P_l$, $K_l$ and $K_{s,l-s}$ be the cycle, the path, the complete graph and the complete bipartite graph with $l$ vertices, respectively.
Jiachang Ye, Jianguo Qian, Zoran Stanic
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The smallest eigenvalue of the signless Laplacian
, 2011 Recently the signless Laplacian matrix of graphs has been intensively investigated. While there are many results about the largest eigenvalue of the signless Laplacian, the properties of its smallest eigenvalue are less well studied.
Nikiforov, Vladimir +7 more
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Some graphs determined by their signless laplacian (Distance) spectra [PDF]
, 2020 In literature, there are some results known about spectral determination of graphs with many edges. In [M.~C\'{a}mara and W.H.~Haemers. Spectral characterizations of almost complete graphs. {\em Discrete Appl.
Adiga, Chandrashekar +3 more
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Adjacency spectra and Laplacian integrality of zero divisor graphs over some rings
Kuwait Journal of ScienceLet π be a commutative ring and let πβ (π ) denote the set of non-zero zero divisors of π . The zero divisor graph π€(π ) is defined as the simple graph with vertex set πβ (π ), where two distinct vertices π₯, π¦ β πβ (π ) are adjacent if and only if π₯π¦ = 0.
Bilal Ahmad Rather +3 more
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Common neighborhood (signless) Laplacian spectrum and energy of CCC-graph
Boletim da Sociedade Paranaense de MatemΓ‘ticaIn this paper, we consider commuting conjugacy class graph (abbreviated as CCC-graph) of a finite group $G$ which is a graph with vertex set $\{x^G : x \in G \setminus Z(G)\}$ (where $x^G$ denotes the conjugacy class containing $x$) and two distinct vertices $x^G$ and $y^G$ are joined by an edge if there exist some elements $x'\in x^G$ and $y'\in y^G ...
Jannat, Firdous Ee, Nath, Rajat Kanti
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Universal Adjacency Matrices with Two Eigenvalues [PDF]
AMS Mathematics Subject Classification: 05C50.Adjacency matrix;Universal adjacency matrix;Laplacian matrix;signless Laplacian;Graph spectra;Eigenvalues;Strongly regular ...
Omidi, G.R., Haemers, W.H.
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Signless Laplacian spectral characterization of graphs with isolated vertices
, 2016 A graph is said to be DQS if there is no other non-isomorphic graph with the same signless Laplacian spectrum. For a DQS graph G, we show that G ? rK1 is DQS under certain conditions.
Jiang Zhou, Shaobin Huang, Changjiang Bu
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This research investigates the relationship between algebra and graph theory, specifically how algebra facilitates graph theory. Associating matrices with graphs introduces the concept of graph energies.
Abdurahim, Abdurahim +5 more
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Signless Laplacian Estrada index and Laplacian Estrada index of uniform hypergraphs
, 2022 We generalize the notions of Laplacian and signless Laplacian Estrada index to uniform hypergraphs. For an $r$-uniform hypergraph $H,$ we derive an order $r+1$ trace formula of the (signless) Laplacian tensor of $H.$ Among others by using this trace ...
Wang, Ligong +2 more
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