On the spectral radius of connected graphs
Web15 de jun. de 2024 · the maximal spectral radius among all the minimally 2-(edge)-connected graphs [5]. Fan, Goryainov and Lin in 2024 proved that K 3 , n − 3 has the … Web29 de jan. de 2024 · For a connected graph and , the distance -spectral radius of is the spectral radius of the matrix defined as , where is a diagonal matrix of vertex …
On the spectral radius of connected graphs
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Web5 de abr. de 2024 · As well known, the spectral radius is not larger than the maximum degree in a graph. It is interesting to study the difference between maximum degree and spectral radius in an irregular graph. Let G be a connected irregular graph on n vertices and m edges, and with maximum degree \Delta, minimum degree \delta and diameter D. Web1 de out. de 2010 · Perfect matching and distance spectral radius in graphs and bipartite graphs. ... Drury and Lin [9] characterized all connected graphs with distance energy in …
Web10 de abr. de 2024 · Let . ρ (S α (G)) be the spectral radius of . S ... among all connected graphs of fixed order and fixed connectivity, and. among all connected graphs of fixed … Web1 de out. de 2024 · In this paper, we determine the graph having the maximum A α-spectral radius for α ∈ [1 2, 1) among all connected graphs of size m and diameter (at least) d. …
Webspectral radius have attracted many interests among the mathematical literature including linear algebra and graph theory. An interesting problem in the spectral graph theory is … WebBefore giving the proof of Theorem1.2, we list all connected graphs with A 0-spectral radius at most 2 (see [10]): the A 0-spectral radii of H 1, H 2, H 3, H 4 and P n are less …
WebIn this note, we obtain two lower bounds for the spectral radius λ1(L(G)) of triangle-free graphs; one is in terms of the numbers of edges and vertices of graphs, and the other is in terms of degrees and average 2-degrees of vertices. We also obtain some other related results. For triangle-free graphs, the second bound is better than
Web9 de abr. de 2024 · On the spectral radius of block graphs with a given dissociation number. Joyentanuj Das, Sumit Mohanty. Mathematics. 2024. A connected graph is called a block graph if each of its blocks is a complete graph. Let Bl ( k , ϕ ) be the class of block graph on k vertices with given dissociation number ϕ . In this article, we…. philrice agusanWeb15 de fev. de 2024 · The spectral radius of G, denoted by ρ (G), is the largest eigenvalue of A (G). When G is connected, A (G) is irreducible and by the Perron-Frobenius … t shirt south parkWeb10 de abr. de 2024 · The adjacency-distance matrix of G is defined as S ( G) = D ( G) + A ( G). In this paper, S ( G) is generalized by the convex linear combinations S α ( G) = α D ( G) + ( 1 − α) A ( G) where α ∈ [ 0, 1]. Let ρ ( S α ( G)) be the spectral radius of S α ( G). t-shirts outlet anaheim caWeb15 de dez. de 2024 · On the Aα-spectral radius of connected graphs A. Alhevaz, M. Baghipur, H. A. Ganie, K. Das Mathematics Ars Mathematica Contemporanea 2024 For a simple graph G , the generalized adjacency matrix A α ( G ) is defined as A α ( G ) = αD ( G ) + (1 − α ) A ( G ) , α ∈ [0 , 1] , where A ( G ) is the adjacency matrix and D ( G ) is the… t-shirts overnightWeb23 de mai. de 2024 · On the [Math Processing Error] spectral radius of strongly connected digraphs Weige Xi, Ligong Wang Let [Math Processing Error] be a digraph with adjacency matrix [Math Processing Error]. Let [Math Processing Error] be the diagonal matrix with outdegrees of vertices of [Math Processing Error]. t-shirts overnight deliveryWebHá 1 dia · [Submitted on 13 Apr 2024] The minimal spectral radius with given independence number Jinwon Choi, Jooyeon Park In this paper, we determine the graphs which have the minimal spectral radius among all the connected graphs of order and the independence number Submission history From: Jinwon Choi [ view email ] phil rice anokaWeb30 de nov. de 1985 · Brualdi and Solheid [5] considered the maximal spectral radius of connected graphs of order n and size m = n + k, where k ≥ 0. If 0 ≤ k ≤ 5 and n is sufficiently large, it was proved that... t shirts overnight shipping