26 citations · 49 across the 41 of their papers we have counts for
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Harmonic Tutte polynomials of matroids II
Thomas Britz, Himadri Shekhar Chakraborty, Reina Ishikawa +2
In this work, we introduce the harmonic generalization of the -tuple weight enumerators of codes over finite Frobenius rings. A harmonic version of the MacWilliams-type identity…
A note on the Assmus--Mattson theorem for some binary codes II
Eiichi Bannai, Tsuyoshi Miezaki, Hiroyuki Nakasora
Let be a four-weight binary code, which has all one vector. Furthermore, we assume that supports -designs for all weights obtained from the Assmus--Mattson theorem. We p…
On the Assmus--Mattson type theorem for Type I and even formally self-dual codes
Tsuyoshi Miezaki, Hiroyuki Nakasora
In the present paper, we give the Assmus--Mattson type theorem for near-extremal Type I and even formally self-dual codes. We show the existence of -designs or -designs for t…
Jacobi polynomials and design theory I
Himadri Shekhar Chakraborty, Tsuyoshi Miezaki, Manabu Oura +1
In this paper, we introduce the notion of Jacobi polynomials with multiple reference vectors of a code, and give the MacWilliams type identity for it. Moreover, we derive a formula…
Weighted Tutte-Grothendieck polynomials of graphs
Himadri Shekhar Chakraborty, Tsuyoshi Miezaki, Chong Zheng
In this paper, we introduce the concept of the weighted (harmonic) chromatic polynomials of graphs and discuss some of its properties. We also present the notion of the weighted (h…