Results 81 to 90 of about 2,074 (148)

Chromatic symmetric functions and polynomial invariants of trees

Stanley asked whether a tree is determined up to isomorphism by its chromatic symmetric function. We approach Stanley\u27s problem by studying the relationship between the chromatic symmetric function and other invariants.
Wagner, Jennifer D., Aliste-Prieto, José, Zamora, José, Martin, Jeremy L.   +3 more
core  

A Note on a Combinatorial Interpretation of the e-Coefficients of the Chromatic Symmetric Function

, 1997
. Stanley has studied a symmetric function generalization XG of the chromatic polynomial of a graph G. The innocent-looking Stanley-Stembridge Poset Chain Conjecture states that the expansion of XG in terms of elementary symmetric functions has ...
Timothy Y. Chow
core  

Homogeneous sets in graphs and a chromatic multisymmetric function

This is an open access article under the CC BY license (http://creativecommons.org /licenses/by /4.0/).In this paper, we extend the chromatic symmetric function X to a chromatic k-multisymmetric function Xk, defined for graphs equipped with a partition ...
Haithcock, Evan, Spirkl, Sophie, Crew, Logan, Reynes, Josephine   +3 more
core   +1 more source

Research on the design method of an optical system for star sensors with low centroid drift under under-corrected aberrations. [PDF]

iScience
Cao B, Meng Y, Wang H, Zhao S, Li X.
europepmc   +1 more source

Metalens Enables Parallel Chromatic Confocal Imaging over a Millimeter-Scale Depth Range with an Axial Space-Bandwidth Product of 68. [PDF]

Nano Lett
Lin YJ, Zhao L, Rahman MT, Liu B, Ding G, Xia T, Yang J, Ni X, Liu Z.   +8 more
europepmc   +1 more source

Linear stability and dispersive soliton propagation in nonlinear media subject to parabolic phase modulation. [PDF]

Sci Rep
Morgan M, Ahmed HM, Sayed M, Soliman M.
europepmc   +1 more source

Subtractive color filters based coaxial metasurface structures with high saturation and brightness. [PDF]

Sci Rep
Ali A, Sayed H, Mobarak M, Aly AH, Sabra W.   +4 more
europepmc   +1 more source

$\alpha$-chromatic symmetric functions

Comment: Minor ...
Haglund, Jim, Oh, Jaeseong, Yoo, Meesue
openaire   +1 more source

Chromatic symmetric functions via the group algebra of $S_n$

We prove some Schur positivity results for the chromatic symmetric function $X_G$ of a (hyper)graph $G$, using connections to the group algebra of the symmetric group.
Pawlowski, Brendan
core  

Achieving Achromatic and Misalignment-Tolerant Fiber Coupling via Meta-Lens with Structural Interleaving. [PDF]

Nanomaterials (Basel)
Yuan X, Tian Z, Jia B, Zhang Y, Zhou Y, Hu C, Xu Q, Yun F.   +7 more
europepmc   +1 more source