Combinatorialists in the news

 https://www.quantamagazine.org/mathematicians-answer-old-question-about-odd-graphs-20210519/


Mathematicians Answer Old Question About Odd Graphs

A pair of mathematicians solved a legendary question about the proportion of vertices in a graph with an odd number of connections.
For decades, mathematicians have debated a simple question about graphs and the number of connections they have. Consider a graph G and a subgraph H such that all the vertices of H have odd degree.  The minimum size of such an H is now known.  Now, using arguments an undergraduate math student could have come up with, Asaf Ferber of the University of California, Irvine and Michael Krivelevich of Tel Aviv University have finally provided the answer in the form of a proof posted in March.

Comments

Popular posts from this blog

The Combinatorics 2018 conference June 3 to 9, 2018 in Arco, Province of Trento, Italy

Dr Jie Ma awarded the 2020 Hall Medal of the ICA

Conference Announcement: 46th Australasian Combinatorics Conference 2nd - 6th December 2024, at The University of Queensland