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Intersections and distinct intersections in cross-intersecting families
European Journal of Combinatorics, 2023 Let $\mathcal{F},\mathcal{G}$ be two cross-intersecting families of $k$-subsets of $\{1,2,\ldots,n\}$. Let $\mathcal{F}\wedge \mathcal{G}$, $\mathcal{I}(\mathcal{F},\mathcal{G})$ denote the families of all intersections $F\cap G$ with $F\in \mathcal{F},G\in \mathcal{G}$, and all distinct intersections $F\cap G$ with $F\neq G, F\in \mathcal{F},G\in ...
Peter Frankl, Jian Wang 0092
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The Intersection Spectrum of 3-Chromatic Intersecting Hypergraphs [PDF]
Proceedings of the London Mathematical Society, 2021 For a hypergraph $H$, define its intersection spectrum $I(H)$ as the set of all intersection sizes $|E\cap F|$ of distinct edges $E,F\in E(H)$. In their seminal paper from 1973 which introduced the local lemma, Erdős and Lovász asked: how large must the intersection spectrum of a $k$-uniform $3$-chromatic intersecting hypergraph be?
Bucić, Matija +2 more
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Scientific Reports, 2022 Plasma Foci are pulsed coaxial discharges with numerous radiation applications and interesting scientific phenomena. Although the physics answered much of the processes involved in these discharges, many related fundamental questions still remains ...
Gonzalo Avaria +8 more
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The traditional textile art "Kar O Čāle" and the narration of the "Serpent King" stories by Zoroastrian women of Iran [PDF]
Dānishhā-yi būmī-i Īrān, 2020 In the past, the occupation of Zoroastrian men was agriculture and animal husbandry, and Zoroastrian women inherited the spinning and textile arts of previous generations, especially the Sassanid period. Women's occupations complemented men's occupations,
Azadeh pashootanizadeh
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INTERACTING INTERSECTIONS [PDF]
International Journal of Modern Physics A, 1998 Intersecting p-branes can be viewed as higher-dimensional interpretations of multicharge extremal p-branes, where some of the individual p-branes undergo diagonal dimensional oxidation, while the others oxidize vertically. Although the naive vertical oxidation of a single p-brane gives a continuum of p-branes, a more natural description arises if one ...
Lü, H., Pope, C. N.
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Water Science and Technology, 2022 Nowadays, wastewater and water treatment with an efficient system for the removal of heavy metals is a serious challenge. Nickel is one of the main heavy metal pollutants that exist in the wastewater of various industries.
Mahdieh Mohammadi Pelarti +3 more
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Intersection Theorems with a Continuum of Intersection Points [PDF]
Journal of Optimization Theory and Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Herings, P.J.J., Talman, A.J.J.
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Civil and Environmental Engineering, 2020 The aim of this study is to investigate air travellers’ behaviour with regard to choices for ground access to this airport. Questionnaire data were collected from 684 respondents. Multinomial logit modelling was employed for this purpose.
Edrisi Ali +3 more
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Intersecting Braids and Intersecting Knot Theory [PDF]
Journal of Knot Theory and Its Ramifications, 1995 An extension of the Artin Braid Group is considered, with the introduction of new operatores that generate double and triple intersections. The extended Alexander theorem, relating intersecting closed braids and intersecting knots is proved for double and triple intersections, and a counter example is given for the case of quadruple intersections ...
Armand-Ugon, Daniel +2 more
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Counting Intersecting and Pairs of Cross-Intersecting Families [PDF]
Combinatorics, Probability and Computing, 2017 A family of subsets of {1,. . .,n} is calledintersectingif any two of its sets intersect. A classical result in extremal combinatorics due to Erdős, Ko and Rado determines the maximum size of an intersecting family ofk-subsets of {1,. . .,n}. In this paper we study the following problem: How many intersecting families ofk-subsets of {1,. .
Frankl, Péter, Kupavskii, Andrey
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