# Maximum size of a triangle-free graph with bounded maximum degree and matching number

@inproceedings{Ahanjideh2022MaximumSO, title={Maximum size of a triangle-free graph with bounded maximum degree and matching number}, author={Milad Ahanjideh and T{\'i}naz Ekim and Mehmet Akif Yıldız}, year={2022} }

Determining the maximum number of edges under degree and matching number constraints have been solved for general graphs in [7] and [2]. It follows from the structure of those extremal graphs that deciding whether this maximum number decreases or not when restricted to claw-free graphs, to C 4 -free graphs or to triangle-free graphs are separately interesting research questions. The ﬁrst two cases being already settled in [8] and [4], in this paper we focus on triangle-free graphs. We show that…

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