Results 91 to 100 of about 2,394 (219)

The largest real zero of the chromatic polynomial

, 1997
It is proved that if every subcontraction of a graph G contains a vertex with degree at most k, then the chromatic polynomial of G is positive throughout the interval (k, ∞); Kk+1 shows that this interval is the largest possible.
Woodall, D.R.
core   +1 more source

Roots of chromatic polynomials

Discrete Mathematics, 2001
The chromatic polynomial \(P(G,\lambda)\) of a graph \(G\) with chromatic number \(\chi\) has a root with modulus at least \([m- ({\chi\over 2})]/(n- \chi)\), where \(n (m)\) is the number of vertices (edges) of \(G\). This bound is proved to be best possible for \((\chi-1)\)-trees only.
openaire   +1 more source

Freeze‐Drying Chlorella vulgaris by Using Aquafaba, Deactivated Yeast, Inulin and Maltodextrin

Food Science &Nutrition, Volume 14, Issue 6, June 2026.
This study investigates the freeze‐drying efficiency of Chlorella vulgaris cultivated in a photobioreactor, utilizing novel and traditional carrier agents including aquafaba, deactivated yeast, inulin, and maltodextrin. The findings highlight the comparative effects of these matrices on the structural integrity and physical properties of the microalgae
Faruk Tamtürk, Başak Gürbüz, Sevim Dalabasmaz, Yaşar Durmaz, Nevzat Konar, Ömer Said Toker, Atefeh Karimidastjerd   +6 more
wiley   +1 more source

Algebraic Properties of Chromatic Polynomials and Their Roots

, 2015
In this thesis we examine chromatic polynomials from the viewpoint of algebraic number theory. We relate algebraic properties of chromatic polynomials of graphs to structural properties of those graphs for some simple families of graphs.
Gilmore, Hamish Julian
core  

A weighted graph polynomial from chromatic invariants of knots [PDF]

, 1999
Motivated by the work of Chmutov, Duzhin and Lando on Vassiliev invariants, we define a polynomial on weighted graphs which contains as specialisations the weighted chromatic invariants but also contains many other classical invariants including the ...
Noble, Steven D., Welsh, D.J.A., Noble, Steven, Welsh, Dominic J. A., Dominic J. A. Welsh, Steven D. Noble   +5 more
core   +1 more source

Chromatic Polynomials Of Some (m,l)-Hyperwheels [PDF]

Computer Science Journal of Moldova, 2014
In this paper, using a standard method of computing the chromatic polynomial of hypergraphs, we introduce a new reduction theorem which allows us to find explicit formulae for the chromatic polynomials of some (complete) non-uniform $(m,l)-$hyperwheels ...
Julian A. Allagan
doaj  

Reduced Hypotonic Exposure and Sequential Membrane Cholesterol Enrichment Limit Phosphatidylserine Externalization and Enhance Circulatory Retention of Erythrocyte‐Derived Microparticles

Journal of Biomedical Materials Research Part A, Volume 114, Issue 6, June 2026.
ABSTRACT Erythrocyte‐derived carriers have emerged as effective biomimetic platforms for the delivery of therapeutic and imaging cargos. However, clearance by the mononuclear phagocytic system (MPS) limits their utility. Towards development of standardized methods for increased bioavailability, we have developed an approach that lowers the ...
Shamima Zaman, Grant Swajian, Shiril Bhardwaj Iragavarapu, Md Tashdid Hossain Shoudho, Bahman Anvari   +4 more
wiley   +1 more source

Set maps, umbral calculus, and the chromatic polynomial

, 2007
Some important properties of the chromatic polynomial also hold for any polynomial set map satisfyingpS(x+y)=∑T⊎U=SpT(x)pU(y).Using umbral calculus, we give a formula for the expansion of such a set map in terms of any polynomial sequence of binomial ...
Gus Wiseman, Gus Wiseman, Wiseman, Gus
core   +1 more source

Intelligent Material Framework for Data Mining and Performance Prediction of Invar Alloy

Rare Metals, Volume 45, Issue 6, June 2026.
ABSTRACT Invar alloys exhibit a low coefficient of thermal expansion (CTE) over a wide temperature range and are regarded as critical materials for precision engineering and aerospace applications. In this work, an integrated OLR‐IMF (an intelligent material framework based on optical character recognition [OCR], large language models [LLMs], and ...
Tongbo Jiang, Chunlei Shang, Hong‐Hui Wu, Mingshuo Nie, Dexin Zhu, Fan Yang, Haoliang Wang, Shuize Wang, Junheng Gao, Haitao Zhao, Chaolei Zhang, Xinping Mao   +11 more
wiley   +1 more source

Application of a D‐Optimal Mixture Design for the Development and Optimization of a Pasta Enriched With Pumpkin Products

Journal of Food Science, Volume 91, Issue 6, June 2026.
ABSTRACT Fortification of wheat‐based products with high‐nutritional‐value ingredients is becoming of great interest as a strategy for producing high‐quality sustainable food products. Therefore, pumpkin products such as pulp (PPU), peel (PPE), and seed (PS) were blended into wheat pasta at different proportions and combinations using D‐optimal mixture
Amira Oufighou, Fatiha Brahmi, Sabiha Achat, Leila Smail‐Benazzouz, Younes Arroul, Sarah Slimani, Sidahmed Saadi, Lila Boulekbache‐Makhlouf, Francisco Artés‐Hernández, Noelia Castillejo   +9 more
wiley   +1 more source