9 citations · 14 across the 12 of their papers we have counts for
14 papers
Wei duality, Fomin-Greene duality and demimatroids
Thomas Britz
The Fomin-Greene Duality Theorem for finite posets and Wei's Duality Theorem for demimatroids each relate sets of extremal invariants via seemingly similar dualities. This paper de…
Classes of phylogenetic networks that are robust to root placement
Thomas Britz, Michael Hendriksen, Kaitlyn O'Reilly
Standard phylogenetic reconstruction techniques often yield unrooted phylogenetic networks; these are subsequently rooted to infer evolutionary history. A common problem in this pr…
Reducible Iterated Graph Systems: multiscale-freeness and multifractals
Nero Ziyu Li, Frank Xin Hu, Thomas Britz
Iterated Graph Systems (IGS) transplant ideas from fractal geometry into graph theory. Building on this framework, we extend Edge IGS from the primitive to the reducible setting. W…
Harmonic higher and extended weight enumerators
Thomas Britz, Himadri Shekhar Chakraborty, Tsuyoshi Miezaki
In this paper, we present the harmonic generalizations of well-known polynomials of codes over finite fields, namely the higher weight enumerators and the extended weight enumerato…
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…
Bounds on the closeness centrality of a graph
Thomas Britz, Xin Hu, Abdellah Islam +1
We present new values and bounds on the (normalised) closeness centrality of connected graphs and on its product with the mean dist…