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math.CO2022★ 1 cited
Maximum size of a triangle-free graph with bounded maximum degree and matching number
Milad Ahanjideh, Tınaz Ekim, Mehmet Akif Yıldız
Determining the maximum number of edges under degree and matching number constraints have been solved for general graphs by Chvátal and Hanson (1976), and by Balachandran and Khare…
math.CO2022
Hamilton Cycles in Dense Regular Digraphs and Oriented Graphs
Allan Lo, Viresh Patel, Mehmet Akif Yıldız
We prove that for every there exists such that every regular oriented graph on vertices and degree at least $(1/4 + \varepsilon)n…