Results 61 to 70 of about 2,394 (219)
Connections between the matching and chromatic polynomials
International Journal of Mathematics and Mathematical Sciences, 1992 The main results established are (i) a connection between the matching and chromatic polynomials and (ii) a formula for the matching polynomial of a general complement of a subgraph of a graph.
E. J. Farrell, Earl Glen Whitehead
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Laser &Photonics Reviews, EarlyView.Bi3+‐doped Cs2SnCl6 nanocrystals are engineered to deliver highly temperature‐responsive self‐trapped exciton emission, achieving record thermal sensitivity at elevated temperatures. A temperature‐induced dual‐STE excited state landscape enables reversible thermochromism, while a dual‐parameter calibration combining fluorescence lifetime and CIE‐y ...
Sujun Ji +16 more
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Colourings of (k-r,k)-trees [PDF]
Opuscula Mathematica, 2017 Trees are generalized to a special kind of higher dimensional complexes known as \((j,k)\)-trees ([L. W. Beineke, R. E. Pippert, On the structure of \((m,n)\)-trees, Proc. 8th S-E Conf. Combinatorics, Graph Theory and Computing, 1977, 75-80]), and which
M. Borowiecki, H. P. Patil
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New bounds for chromatic polynomials and chromatic roots
Discrete Mathematics, 2015 If $G$ is a $k$-chromatic graph of order $n$ then it is known that the chromatic polynomial of $G$, $π(G,x)$, is at most $x(x-1)\cdots (x-(k-1))x^{n-k} = (x)_{\downarrow k}x^{n-k}$ for every $x\in \mathbb{N}$. We improve here this bound by showing that \[ π(G,x) \leq (x)_{\downarrow k} (x-1)^{Δ(G)-k+1} x^{n-1-Δ(G)}\] for every $x\in \mathbb{N},$ where $
Jason I. Brown, Aysel Erey
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Evaluating anisotropy‐based Monin–Obukhov similarity theory over canopies and complex terrain
Quarterly Journal of the Royal Meteorological Society, EarlyView.This study shows that an anisotropy‐based generalization of Monin–Obukhov surface‐layer scaling (SC23) applies readily across a wide range of atmospheric conditions with variable terrain, canopies, and land‐cover complexity. This work focuses on the scaling of velocity variances for 7 years at the 47 sites in the National Ecological Observation Network
Tyler S. Waterman +3 more
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A Symmetric Function of Increasing Forests
Forum of Mathematics, Sigma, 2021 For an indifference graph G, we define a symmetric function of increasing spanning forests of G. We prove that this symmetric function satisfies certain linear relations, which are also satisfied by the chromatic quasisymmetric function and unicellular $\
Alex Abreu, Antonio Nigro
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Diffractive wavefront correction for Fe L‐edge spectroscopy on the meV scale
Journal of Synchrotron Radiation, EarlyView.We propose an aberration‐corrected, wavelength‐dispersive instrument for soft X‐ray spectroscopy at an energy‐resolving power of (5–6) × 104, designed for, for example, resonant inelastic X‐ray scattering at synchrotron beamlines or X‐ray free‐electron lasers.We propose a wavelength‐dispersive instrument for high‐resolution soft X‐ray spectroscopy at ...
Christoph Braig +3 more
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The multivariate arithmetic Tutte polynomial [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We introduce an arithmetic version of the multivariate Tutte polynomial recently studied by Sokal, and a quasi-polynomial that interpolates between the two.
Petter Brändèn, Luca Moci
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Functional Ecology, EarlyView.Read the free Plain Language Summary for this article on the Journal blog. Abstract Heatwaves are becoming increasingly frequent across the Mediterranean and pose critical challenges for small passerines, yet the physiological and morphological limits to their resilience remain poorly understood.
Erick González‐Medina +6 more
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Roots of the Chromatic Polynomial [PDF]
, 2017 The chromatic polynomial of a graph G is a univariate polynomial whose evaluation at any positive integer q enumerates the proper q-colourings of G.
Perrett, Thomas
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