Let Γ be a genuine strongly 3-walk-regular graph. Then its least eigenvalue θ 3 ≤ − 2 , equality holds if and only if Γ is L ( K 2 , 4 ) , L ( K 2 , 2 , 2 ) , L ( IG ( 7 , 3 , 1 ) ) , L ( IG ( 4 , 3 , 2 ) ) or BC S 9 , where K 2 , 2 , 2 is the complete 3-partite graph with two vertices in each part.
6 days ago · Comput.: On the least eigenvalue of genuine strongly 3-walk-regular graphs https://sciencedirect.com/science/article/pii/S0096300324006635…
Nov 13, 2018 · We know that A has only 3 eigenvalues, which are of the form: k,θ=(a−c)+√(a−c)2+4(k−c)2,τ=(a−c)−√(a−c)2+4(k−c)2. So if 0 is an eigenvalue of A ...
Nov 23, 2015 · I recently proved an inequality relating some of the eigenvalues of a regular graph with each other, and I was wondering if it is already known.
Missing: genuine | Show results with:genuine
Aug 9, 2022 · Abstract. We give variants of the Krein bound and the absolute bound for graphs with a spectrum similar to that of a strongly regular graph.
On the least eigenvalue of genuine strongly 3-walk-regular graphs · Jiahao ZhangChangxiang HeRongquan Feng. Mathematics. Applied Mathematics and Computation.
People also ask
What is the classification of a 3-regular graph?
What are the properties of a 3-regular graph?
Are all regular graphs connected?
What is the existence of D regular graph?
Oct 30, 2024 · 【11月1日】On the least eigenvalue of genuine strongly 3-walk-regular graphs ... 欢迎广大师生前来参加！ 版权所有 ...
In this paper our focus is on regular signed graphs with exactly 3 (dis- tinct) eigenvalues. We establish certain basic results; for example, we show.
Sep 10, 2022 · The eigenvalues of such graphs are integral and depend on the weights of the three-weight code, so that Equation (1) turns into a number theory.
Nov 26, 2013 · I have a (q2+q)(q+1)-regular graph. Is there some general method to compute the eigenvalues of the adjacency matrix of a k-regular graph ...
Missing: genuine walk-