Results 91 to 100 of about 2,701,787 (159)
Chromatic quasisymmetric functions for signed graphs
In 1995, Stanley introduced the chromatic symmetric function of a graph, which specializes to its chromatic polynomial, and which has been the focus of intense research.
Aval, Jean-Christophe, Melgar, Raquel
core +1 more source
A signed \(e\)-expansion of the chromatic quasisymmetric function [PDF]
Combinatorial TheoryWe prove a new signed elementary symmetric function expansion of the chromatic quasisymmetric function of any natural unit interval graph. We then use a sign-reversing involution to prove a new combinatorial formula for K-chains, which are graphs formed by joining cliques at single vertices.
openaire +2 more sources
Chromatic quasisymmetric functions
The purpose of this thesis is to deal with chromatic quasisymmetric functions and the Shareshian-Wachs conjecture. In the first part, we gradually introduce the problem, showing which are the main reasons why it is studied. We begin with graph colorings,
VENTURINI, EDUARDO
core
Quasisymmetric Graphs and Zygmund Functions [PDF]
, 2011 A quasisymmetric graph is a curve whose projection onto a line is a quasisymmetric map. We show that this class of curves is related to solutions of the reduced Beltrami equation and to a generalization of the Zygmund class lambda. This relation makes it
Kovalev, Leonid V, Onninen, Jani
core
Multi-quasisymmetric functions with semigroup exponents, Hopf algebras and Rota-Baxter algebras [PDF]
Many years ago, G.-C.~Rota discovered a close connection between symmetric functions and Rota-Baxter algebras, and proposed to study generalizations of symmetric functions in the framework of Rota-Baxter algebras.
Guo, Li, Gao, Xing, Peng, Xiao-Song
core +1 more source
Quasisymmetric functions of extremal growth
Annales Academiae Scientiarum Fennicae Series A I Mathematica, 1986 An increasing homeomorphism f of the real axis onto itself is K- quasisymmetric (k-qs) if \[ (*)\quad 1/K\leq (f(x+t)-f(x))/(f(x)-f(x- t))\leq K \] for all real x and positive t. We write \(N_ 0(K)\) for the class of K-qs functions that fix the points \(\pm 1\).
openaire +3 more sources
Following the messenger: Recent innovations in live cell single molecule fluorescence imaging. [PDF]
Wiley Interdiscip Rev RNA, 2020 Schmidt A +4 more
europepmc +1 more source
Polymorphic Forms of Valinomycin Investigated by NMR Crystallography. [PDF]
Int J Mol Sci, 2020 Czernek J, Brus J.
europepmc +1 more source
3D structures of fungal partitiviruses. [PDF]
Adv Virus Res, 2013 Nibert ML +6 more
europepmc +1 more source
A homodimer interface without base pairs in an RNA mimic of red fluorescent protein. [PDF]
Nat Chem Biol, 2017 Warner KD +5 more
europepmc +1 more source