Coxeter theory investigates groups generated by reflections and the geometric structures arising from their actions, such as root systems and Dynkin diagrams. This body of work underpins vast areas of ...
A tree must be acyclic, meaning it should not contain any cycles. A cycle is a path that starts and ends at the same vertex ...
For any integer π β₯ 2, a graph πΊ is called π-leaf-connected if |V(G)|β₯k+1 and given any subset π β π(πΊ) with |S|=k,G always has a spanning tree π such that π is precisely the set of leaves of ...
Back in the hazy olden days of the pre-2000s, navigating between two locations generally required someone to whip out a paper map and painstakingly figure out the most optimal route between those ...
Jacob Holm was flipping through proofs from an October 2019 research paper he and colleague Eva Rotenbergβan associate professor in the department of applied mathematics and computer science at the ...
For most of us, the word graph brings back memories (not always pleasant) of pencils and rulers and quadrille ruled paper, though a more recent generation may think instead of pie and bar charts ...
In 1986, then-Fort Wayne Mayor Win Moses Jr. proclaimed March 10-15 to be Fort Wayne Graph Theory Week and urged βall citizens, community organizations, scholars, and conference participants, to join ...
Understanding the relationships in graph database theory allows us to work with the new 'shape' of data itself. Businesspeople like graphs. C-suite executives are fond of pie charts, Venn diagrams, ...
Samuel Baron receives funding from the Australian Research Council (Discovery Early Career Researcher Award: DE180100414). Stephen Wolfram is a cult figure in programming and mathematics. He is the ...
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