Research Trends in Graph Theory and Applications
暫譯: 圖論及其應用的研究趨勢

在平衡三部圖中尋找長循環：第一步 (L. Lesniak) - 產品節流 (L. Hogben) - 測量矩陣中的Termatiko集合分析 (L. Matthews) - 圖的閾值維度與閾值強維度：綜述 (O. Oellermann) - Mycielskian圖的對稱參數 (D. Boutin) - 主導集合的重配置圖 (R. Haas)

​Daniela Ferrero is a Professor of Mathematics at Texas State University-San Marcos, TX. Her expertise is on graph theory and her research focuses on combinatorial optimization problems arising in science, engineering, and in other fields of mathematics. Her research program has been funded by the National Science Foundation, the National Security Agency, the American Mathematical Society, the Mathematical Association of America and AWM. Her initiatives to promote inclusion in mathematics through collaborative research include mentoring programs for graduate and undergraduate students at her home institution and the co-organization of the Workshop for Women in Graph Theory and Applications, which led to the creation of the AWM Research Collaboration Network for Women in Graph Theory and Applications. She earned a degree on Computer Engineering from Universidad de la República (Montevideo, Uruguay) and a Ph.D. in Applied Mathematics and Telematics from Universitat Politècnica de Catalunya (Barcelona, Spain). Prior to joining Texas State University, she was a postdoctoral research fellow at the Institute of Information Science of Academia Sinica (Taipei, Taiwan).
Leslie Hogben is a Professor of Mathematics and Associate Dean for Graduate Studies and Faculty Development at Iowa State University, and the Associate Director for Diversity at the American Institute of Mathematics. She received her B.A. from Swarthmore College in 1974, and her Ph.D. in 1978 from Yale University under the direction of Nathan Jacobson. Although originally working in nonassociative algebras, in the mid-1990s she changed her focus to linear algebra, especially combinatorial matrix theory and spectral graph theory, and in the past ten years has become more involved in graph theory. Dr. Hogben is the author of more than 100 research papers and is a Fellow of the American Association for the Advancement of Science and of the Association for Women in Mathematics. She is the editor of Handbook of Linear Algebra, an advisory editor of Electronic Journal of Linear Algebra, and an associate editor of Linear Algebra and its Applications and is a frequent co-organizer of meetings, workshops, and special sessions/mini-symposia, including the 2017 International Linear Algebra Society Conference. She particularly enjoys introducing students to mathematical research. She has advised or is advising 5 postdoctoral associates, 22 doctoral students, 19 masters students, and 40 undergraduate researchers and is the PI of the NSF-sponsored Research Training Group in combinatorics at ISU and was formerly the PI of the ISU Math REU.
Sandra R. Kingan is an Associate Professor at Brooklyn College and the Graduate Center of the City University of New York. Her research lies at the intersection of combinatorics and geometry. She has published papers in matroid theory, graph theory, and combinatorial algorithms and her work is supported by the National Science Foundation. Her book "Graphs and Networks" blends classical graph theory with modern network science and is available for preorder. She earned a BS from St. Xavier's College, Mumbai, India and a PhD from Louisiana State University. She is a co-organizer of the Women in Graph Theory Research Network, a Math Alliance mentor and an International Mathematical Union's Committee for Women ambassador for North America.
Gretchen L. Matthews is a Professor of Mathematics at Virginia Tech and Director of the Commonwealth Cyber Initiative Southwest Virginia. She is affiliated faculty with Virginia Tech's Hume Center for National Security & Technology and Computational Modeling & Data Analytics program. Her research is in applied algebra, with a focus on coding theory and cryptography and applications in data storage, protection, and privacy. She is an AWM Fellow, in recognition of her efforts to broaden participation in mathematics. She earned a BS from Oklahoma State University and a PhD from Louisiana State University, both in Mathematics. She spent time as a postdoc at University of Tennessee and on the faculty at Clemson University before joining Virginia Tech.

丹妮拉·費雷羅（Daniela Ferrero）是德州州立大學聖馬科斯分校（Texas State University-San Marcos, TX）的數學教授。她的專長是圖論（graph theory），研究重點在於科學、工程及其他數學領域中出現的組合優化問題。她的研究計畫獲得了美國國家科學基金會（National Science Foundation）、國家安全局（National Security Agency）、美國數學學會（American Mathematical Society）、美國數學協會（Mathematical Association of America）及女性數學家協會（AWM）的資助。她透過合作研究推動數學包容性的倡議，包括為她所在機構的研究生和本科生提供的輔導計畫，以及共同組織女性圖論及應用研討會，這導致了女性圖論及應用的AWM研究合作網絡的成立。她在烏拉圭蒙得維的亞的烏拉圭國立大學（Universidad de la República）獲得計算機工程學位，並在西班牙巴塞隆納的加泰羅尼亞理工大學（Universitat Politècnica de Catalunya）獲得應用數學及電信學的博士學位。在加入德州州立大學之前，她曾在台灣中央研究院資訊科學研究所擔任博士後研究員。

萊斯莉·霍根（Leslie Hogben）是愛荷華州立大學（Iowa State University）的數學教授及研究生學習與教職發展副院長，並擔任美國數學研究所（American Institute of Mathematics）的多樣性副主任。她於1974年在斯沃斯莫爾學院（Swarthmore College）獲得學士學位，並於1978年在耶魯大學（Yale University）獲得博士學位，指導教授為內森·雅各布森（Nathan Jacobson）。雖然最初專注於非聯合代數（nonassociative algebras），但在1990年代中期她將重心轉向線性代數，特別是組合矩陣理論（combinatorial matrix theory）和光譜圖論（spectral graph theory），在過去十年中更積極參與圖論的研究。霍根博士發表了超過100篇研究論文，是美國科學促進會（American Association for the Advancement of Science）及女性數學家協會（Association for Women in Mathematics）的會士。她是《線性代數手冊》（Handbook of Linear Algebra）的編輯、《電子線性代數期刊》（Electronic Journal of Linear Algebra）的顧問編輯，以及《線性代數及其應用》（Linear Algebra and its Applications）的副編輯，並經常共同組織會議、研討會及特別會議/迷你研討會，包括2017年國際線性代數學會議。她特別喜歡向學生介紹數學研究。她曾指導或正在指導5名博士後研究員、22名博士生、19名碩士生及40名本科研究者，並擔任愛荷華州立大學的NSF資助組合學研究訓練小組的主要研究者，曾擔任愛荷華州立大學數學REU的主要研究者。

桑德拉·R·金根（Sandra R. Kingan）是布魯克林學院（Brooklyn College）及紐約市立大學研究生中心（Graduate Center of the City University of New York）的副教授。她的研究位於組合學（combinatorics）和幾何學（geometry）的交集。她在矩陣理論（matroid theory）、圖論及組合算法（combinatorial algorithms）方面發表了論文，並且她的工作得到了美國國家科學基金會的支持。她的書籍《圖與網絡》（Graphs and Networks）將經典圖論與現代網絡科學相結合，並已開始接受預訂。她在印度孟買的聖薇薇安學院（St. Xavier's College）獲得學士學位，並在路易斯安那州立大學（Louisiana State University）獲得博士學位。她是女性圖論研究網絡的共同組織者，數學聯盟（Math Alliance）的導師，以及國際數學聯合會（International Mathematical Union）北美女性委員會的代表。

格雷琴·L·馬修斯（Gretchen L. Matthews）是維吉尼亞理工大學（Virginia Tech）的數學教授及西維吉尼亞聯邦網絡倡議（Commonwealth Cyber Initiative Southwest Virginia）的主任。她是維吉尼亞理工大學國家安全與技術亨姆中心（Hume Center for National Security & Technology）及計算建模與數據分析計畫的附屬教員。她的研究專注於應用代數（applied algebra），特別是編碼理論（coding theory）和密碼學（cryptography），以及在數據存儲、保護和隱私方面的應用。她是AWM的會士，以表彰她在擴大數學參與方面的努力。她在俄克拉荷馬州立大學（Oklahoma State University）獲得學士學位，並在路易斯安那州立大學獲得數學博士學位。她曾在田納西大學（University of Tennessee）擔任博士後研究員，並在克萊姆森大學（Clemson University）任教，然後加入維吉尼亞理工大學。