On the number of integral graphs

Kevin Costello, Parker Williams

Type: Article

Publication Date: 2015-12-29

Citations: 3

DOI: https://doi.org/10.1016/j.laa.2015.11.027

View Publication

Locations

Linear Algebra and its Applications - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	A survey on integral graphs	2002	Krystyna T. Balińska Dragoš Cvetković Zoran Radosavljević Slobodan Simić Dragan Stevanović
+	An infinite family of integral graphs	1984	Moshe Roitman
+	On integral sum graphs	1999	Baogen Xu
+	On Integral Sum Graphs	2002	Zhibo Chen
+	Integral Sum Numbers of Graphs	1999	Sheng-Chyang Liaw David Kuo Gerard J. Chang
+	Which Graphs have Non-integral Spectra?	2018	Katja Mönius Jörn Steuding Pascal Stumpf
+	On Q-integral graphs with Q-spectral radius 6	2022	Semin Oh Jeong Rye Park Jongyook Park Yoshio Sano
+	A study on integral sum graphs and various graph theoretic parameters	2003	G. Santhosh
+	On the I-integral of a graph	2015	Randy L. Caga-anan
+	On integral graphs which belong to the class $$\overline {\alpha K_{a,a} \cup \beta {\rm K}_{b,b} } $$	2006	Mirko Lepović
+	On integral graphs which belong to the class $$\overline {\alpha K_a \cup \beta K_b } $$	2004	Mirko Lepović
+	ON INTEGRAL GRAPHS WHICH BELONG TO THE CLASS $\overline{aK_{a}\;{\bigcup}\;{\beta}K_{b}}$	2004	Mirko Lepović
+	On integral Cayley sum graphs	2016	Marzieh Amooshahi Bijan Taeri
+	Harary's conjectures on integral sum graphs	1996	Zhibo Chen
+	On Integral Graphs Which Belong to the Class	2003	Mirko Lepović
+	Some results on integral sum graphs	2001	Yan Wang Bo Liu
+	On the Range of Possible Integrities of Graphs G(n, k)	2010	Mustafa Atıcı Claus Ernst
+	On the diameter of integral circulant graphs.	2012	Dragan Stevanović Marko D. Petković Milan Bašić
+ PDF Chat	On the chromatic number of integral circulant graphs	2010	Aleksandar Ilić Milan Bašić
+	On Integral Graphs with Few Cycles	2009	G.R. Omidi

Works That Cite This (3)

Action	Title	Year	Authors
+	Recent progress in combinatorial random matrix theory	2020	Van Vu
+	Bipartite graphs with all but two eigenvalues equal to 0 and ±1	2023	Xiaohong Li Jianfeng Wang Maurizio Brunetti
+ PDF Chat	Recent progress in combinatorial random matrix theory	2021	Van H. Vu

Works Cited by This (8)

Action	Title	Year	Authors
+	Random matrices have simple spectrum	2014	Terence Tao Van Vu
+ PDF Chat	Random symmetric matrices are almost surely nonsingular	2006	Kevin Costello Terence Tao Van Vu
+	On subspaces spanned by random selections of ±1 vectors	1988	Andrew Odlyzko
+ PDF Chat	Invertibility of symmetric random matrices	2012	Roman Vershynin
+	Random symmetric matrices are almost surely non-singular	2005	Kevin Costello Terence Tao Van Vu
+ PDF Chat	Inverse Littlewood–Offord problems and the singularity of random symmetric matrices	2012	Hoi H. Nguyen
+	Which graphs have integral spectra?	1974	Frank Harary Allen J. Schwenk
+ PDF Chat	Perfect State Transfer in Quantum Spin Networks	2004	Matthias Christandl Nilanjana Datta Artur Ekert Andrew J. Landahl