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math.CO2021
Counting substructures and eigenvalues II: quadrilaterals
Bo Ning, Mingqing Zhai
Let be a graph and be the spectral radius of . A previous result due to Nikiforov [Linear Algebra Appl., 2009] in spectral graph theory asserted that every graph …
math.CO2021★ 12 cited
Counting substructures and eigenvalues I: triangles
Bo Ning, Mingqing Zhai
Motivated by the counting results for color-critical subgraphs by Mubayi [Adv. Math., 2010], we study the phenomenon behind Mubayi's theorem from a spectral perspective and start u…
math.CO2021★ 6 cited
Spectral extrema of graphs with fixed size: cycles and complete bipartite graphs
Mingqing Zhai, Huiqiu Lin, Jinlong Shu
Nikiforov [Some inequalities for the largest eigenvalue of a graph, Combin. Probab. Comput. 179--189] showed that if is -free then the spectral radius $ρ(G)\leq\sqrt{2…