報告題目👨🏽✈️：The signed graphs with symmetric spectra
報告人👩👩👦👦：黃瓊湘
摘要：It is well known that a graph $G$ has a symmetric spectrum if and only if it is bipartite, a signed graph $\Gamma=(G,\sigma)$ has a symmetric spectrum if $G$ is bipartite. However, there exists a spectrally symmetric signed graph $\Gamma=(G,\sigma)$ such that $G$ is not bipartite. In this paper, we focus to characterize the signed graphs with symmetric spectra. Some necessary and (or) sufficient conditions for spectrally symmetric signed graphs are given. Moreover, some methods to construct signed graphs with symmetric spectra are found and infinite families of these signed graphs are produced. Particularly, spectrally symmetric signed graphs of some classes are completely determined.
報告時間：2023年3月29日 15:30
報告地點😓：一教116
報告人簡介🫷🏽：黃瓊湘🧎🏻♂️，新疆大學教授♨️、博士生導師🤾♂️，主要研究領域為圖論、代數圖論🙍🏻♂️、圖譜理論。在J. Combin. Theory Ser. B👩🏿🔧、Europ. J. Combin.🚗、J. Algebraic Combin.、Electronic. J. Combin.、Discrete Math.、Discrete Appl. Math.🖖🏿、Linear Algebra Appl. 等圖與組合領域的期刊上發表論文150余篇；主持完成國家自然科學基金項目多項，作為子課題負責人承擔國家自然科學基金重點項目1項；榮獲新疆維吾爾自治區科技進步獎等。