4 citations · 4 across the 5 of their papers we have counts for
5 papers
Characterization and chromatic number of triangle-free graphs with diameter 2
Akihiro Higashitani, Diogo Kendy Matsumoto, Naoki Matsumoto
In this paper, we consider triangle-free graphs with diameter 2. If a triangle-free graph with diameter 2 is not isomorphic to a star, then the radius of is also 2, where s…
Travel groupoids on complete multipartite graphs
Diogo Kendy Matsumoto
A travel groupoid is an algebraic system satisfying two suitable conditions, which has a relation to graphs. In this article, we characterize travel groupoids on finite complete mu…
Quiver-theoretical approach to dynamical Yang-Baxter maps
Diogo Kendy Matsumoto, Kenichi Shimizu
A dynamical Yang-Baxter map, introduced by Shibukawa, is a solution of the set-theoretical analogue of the dynamical Yang-Baxter equation. In this paper, we initiate a quiver-theor…
A construction of smooth travel groupoids on finite graphs
Diogo Kendy Matsumoto, Atsuhiko Mizusawa
A travel groupoid is an algebraic system related with graphs. In this paper, we give an algorithm to construct smooth travel groupoids for any finite graph. This algorithm gives an…
Combinatorial aspects of dynamical Yang-Baxter maps and dynamical braces
Diogo Kendy Matsumoto
In this article we propose an algebraic system, which is an abelian group with a family of non-associative and non-(left)distributive multiplications …