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C. Godsil, X. Zhang.
Oriented or signed Cayley graphs with all eigenvalues integer multiples of √Δ.
Submitted, 2024 [pdf]
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S. Kirkland, Y. Li, J. McAlister, and X. Zhang.
Edge Addition and the Change in Kemeny’s Constant.
Submitted, 2023 [pdf]
-
C. Godsil, W. Sun, and X. Zhang.
Cospectral graphs obtained by edge deletion. Submitted,
2023 [pdf]
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A. Acuaviva, A. Chan, S. Eldridge, C. Godsil, M. How‑Chun‑Lun,
C. Tamon, E. Wright, and X. Zhang.
State Transfer in Complex Quantum Walks. Submitted, 2023
[pdf]
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P. Bernard, N. Crampé, L. Vinet, M. Zaimi, and X. Zhang.
Bivariate 𝑃‑ and 𝑄‑polynomial structures of the association schemes based on attenuated spaces.
Discrete Mathematics, 348, pp. 114332, 2024.
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P. Bernard, N. Crampé, L. Vinet, M. Zaimi, and X. Zhang.
𝑚‑distance‑regular graphs and their relation to multivariate
𝑃‑polynomial association schemes. Discrete Mathematics, 347, pp. 114179, 2024.
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N. Crampé, L. Vinet, M. Zaimi, and X. Zhang.
A bivariate Q‑polynomial structure for the non‑binary Johnson
scheme. Journal of Combinatorial Theory, Series A, 202, 25 p., 2024.
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C. Godsil, X. Zhang.
Fractional revival on non‑cospectral vertices .
Linear Algebra and its Applications, 654, pp. 69-88, 2022.
-
J. Breen, S. Butler, M. Fuentes, B. Lidický, M. Phillips, A. W.
N. Riasanovsky, S.‑Y. Song, R. R. Villagrán, C. Wiseman and X.
Zhang.
Hadamard diagonalizable graphs of order at most 36 . The
Electronic Journal of Combinatorics., 29, Paper No. 2.16,
22 pp, 2022.
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J. Carlson, A. Owens, K. E. Perry, I. Singgih, Z.‑X. Song, D.
Yang, F. Zhang, and X. Zhang.
Antimagic orientations of graphs with large maximum degree. Discrete Math., 343, pp. 112‑123, 2020.
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S. Kirkland and X. Zhang.
Fractional revival of threshold graphs under Laplacian
dynamics. Discussiones Mathematicae Graph Theory, 40, pp.
585‑600, 2020.
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S. Kirkland, S. Plosker, and X. Zhang.
Switching and partially switching the hypercube while
maintaining perfect state transfer . Quantum Information & Computation, 19, pp. 541‑554,
2019.
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S. Kirkland, D. Mclaren, R. Pereira, S. Plosker, and X. Zhang.
Perfect quantum state transfer in weighted paths with
potentials (loops) using orthogonal polynomials . Linear Algebra and Multilinear Algebra, 67, pp.
1043‑1061, 2019.
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N. Johnston, S. Kirkland, S. Plosker, R. Storey, and X. Zhang.
Perfect quantum state transfer using Hadamard diagonalizable
weighted graphs . Linear Algebra and its Applications, 531, pp. 375‑398,
2017.
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Y. Yang, X. Zhang.
Note on classification of two‑dimensional associative
lattice‑ordered real algebras. Soft Computing, 21, pp. 2549‑2552, 2017.
-
W. Gordon, S. Kirkland, C.‑K. Li, S. Plosker, and X. Zhang.
Bounds on probability of state transfer with respect to
readout time and edge weight . Physical Review A 93, 022309, 2016
-
S. Plosker and X. Zhang.
Quantum state transfer. Research Notes section of
Canadian Mathematical Society (CMS) Notes, Vol. 48, no. 6,
pp. 16‑17, 2016