Zilin Jiang

collaborators

3 papers

math.CO2026

Subcubic graphs without eigenvalues in $(- 1, 1)$

Shenwei Huang, Zilin Jiang

Guo and Royle recently classified the connected cubic graphs without eigenvalues of their adjacency matrix in the open interval $(- 1, 1)$ , and raised the question of extending thei…

math.CO2025

On the smallest eigenvalues of $3$ -colorable graphs

Zilin Jiang, Zhiyu Wang

We prove that the set of the smallest eigenvalues attained by $3$ -colorable graphs is dense in $(- \infty, - I^»^{*})$ , where $I^»^{*} = I ¨ ^{1/2} + I ¨ ^{- 1/2} \approx 2.01980$ and $I ¨ $ is t…

math.CO2025

On symmetric hollow integer matrices with eigenvalues bounded from below

Zilin Jiang

A hollow matrix is a square matrix whose diagonal entries are all equal to zero. Define $I^»^{*} = I ¨ ^{1/2} + I ¨ ^{- 1/2} \approx 2.01980$ , where $I ¨ $ is the unique real root of $x^3 =…

Subcubic graphs without eigenvalues in (−1,1)

On the smallest eigenvalues of 3-colorable graphs

On symmetric hollow integer matrices with eigenvalues bounded from below

Subcubic graphs without eigenvalues in $(- 1, 1)$

On the smallest eigenvalues of $3$ -colorable graphs