On the distance signless laplacian of a graph
Web15 de abr. de 2015 · The distance Laplacian matrix L (G) of a graph G is defined to be L (G) = diag (Tr) − D (G), where D (G) denotes the distance matrix of G and diag (Tr) … Web15 de dez. de 2013 · The distance (distance signless Laplacian, respectively) spectral radius of G, denoted by ρ D ( G) ( ρ Q ( G), respectively), is the largest distance …
On the distance signless laplacian of a graph
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Web21 de fev. de 2024 · In this paper, first, upper and lower bounds for the spectral radius of a nonnegative matrix are constructed. Applying this result, upper and lower bounds for the distance and distance signless Laplacian spectral radius of graphs are given, and the extremal graphs for these bounds are obtained. WebAssume that R is a commutative ring with nonzero identity. The comaximal graph of R, denoted by Γ(R), is a simple graph whose vertex set consists of all elements of R, and …
Web28 de out. de 2024 · The matrix \cal {Q} (G)=\cal {T}+\cal {D} is called the distance signless Laplacian of G. In this paper, we provide the distance signless Laplacian spectrum of …
Web20 de mar. de 2024 · We obtain a relationship between the Laplacian energy and the distance Laplacian energy for graphs with diameter 2. We obtain lower bounds for the distance Laplacian energy DLE ( G) in terms of the order n, the Wiener index W ( G ), the independence number, the vertex connectivity number and other given parameters. WebThe distance signless Laplacian spectral radius of a connected graph , denoted by , is the maximal eigenvalue of the distance signless Laplacian matrix of . In this paper, we find …
Web7 de ago. de 2015 · The distance signless Laplacian of a connected graph is defined by , where is the distance matrix of , and is the diagonal matrix whose main entries are the …
WebThe distance signless Laplacian spectral radius of a connected graph G is the largest eigenvalue of the distance signless Laplacian matrix of G, defined as DQ(G) ... In the unit distance graph of $\mathbb{Z}^n\subset\mathbb{R}^n$, a perfect dominating set is understood as having induced components not necessarily trivial. sides low carbWebCharacterizing Graphs with Nullity n-4. × Close Log In. Log in with Facebook Log in with Google. or. Email. Password. Remember me on this computer. or reset password. Enter the email address you signed up with and we'll email you a reset link. Need an account? Click here to sign up. Log In Sign Up. Log In; Sign Up; more; Job ... sides mathWeb摘要： The distance signless Laplacian spectral radius of a connected graph in terms of the clique number. Furthermore, both extremal graphs are uniquely determined. the plaza hotel food courtWeb17 de dez. de 2024 · Browse Figure Citation Export Abstract Let G be a simple undirected graph containing n vertices. Assume G is connected. Let be the distance matrix, be the distance Laplacian, be the distance signless Laplacian, and be the diagonal matrix of the vertex transmissions, respectively. side snap sweatpantsWebThe distance matrix was defined by Graham and Pollak in 1971 in order to study the problem of loop switching in routing messages through a network. Since then, variants … the plaza hotel central park lobbyWeb2 de jan. de 2024 · A graph G which does not share its distance signless Laplacian spectrum with any other non-isomorphic graphs is said to be determined by its distance … side snap t shirts babyWeb3 de abr. de 2024 · The distance signless Laplacian matrix of graph is defined as , where is the diagonal matrix of the vertex transmissions in . The largest eigenvalue of is called the distance signless Laplacian spectral radius of , written as . And a perfect matching in a graph is a set of disadjacent edges covering every vertex of . the plaza hotel booking