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Showing 2022 · math.COShow all
3 papers · 2 filters
math.CO2022★ 29 cited
Spectral extremal graphs for the bowtie
Yongtao Li, Lu Lu, Yuejian Peng
Let be the (friendship) graph obtained from triangles by sharing a common vertex. The -free graphs of order which attain the maximal spectral radius was firstly…
math.CO2022★ 21 cited
The maximum spectral radius of non-bipartite graphs forbidding short odd cycles
Yongtao Li, Yuejian Peng
It is well-known that eigenvalues of graphs can be used to describe structural properties and parameters of graphs. A theorem of Nosal states that if is a triangle-free graph w…
math.CO2022★ 18 cited
Refinement on spectral Turán's theorem
Yongtao Li, Yuejian Peng
A well-known result in extremal spectral graph theory, due to Nosal and Nikiforov, states that if is a triangle-free graph on vertices, then $λ(G) \le λ(K_{\lfloor \frac{n}…