17 citations · 85 across the 28 of their papers we have counts for
3 papers · 1 filter
-deformation of chromatic polynomials and graphical arrangements
Tongyu Nian, Shuhei Tsujie, Ryo Uchiumi +1
We first observe a mysterious similarity between the braid arrangement and the arrangement of all hyperplanes in a vector space over the finite field . These two arra…
Freeness of hyperplane arrangements associated with gain graphs
Daisuke Suyama, Michele Torielli, Shuhei Tsujie
Athanasiadis studied arrangements obtained by adding shifted hyperplanes to the braid arrangement. Similarly, Bailey studied arrangements obtained by adding tilted hyperplanes to t…
Universal graph series, chromatic functions, and their index theory
Tsuyoshi Miezaki, Akihiro Munemasa, Yusaku Nishimura +2
In the present paper, we introduce the concept of universal graph series. We then present four invariants of graphs and discuss some of their properties. In particular, one of thes…