Results 151 to 160 of about 908,928 (292)

On Endomorphism Universality of Sparse Graph Classes

open access: yesJournal of Graph Theory, Volume 110, Issue 2, Page 223-244, October 2025.
ABSTRACT We show that every commutative idempotent monoid (a.k.a. lattice) is the endomorphism monoid of a subcubic graph. This solves a problem of Babai and Pultr and the degree bound is best‐possible. On the other hand, we show that no class excluding a minor can have all commutative idempotent monoids among its endomorphism monoids. As a by‐product,
Kolja Knauer, Gil Puig i Surroca
wiley   +1 more source

On the uniqueness of collections of pennies and marbles

open access: yesExamples and Counterexamples
In this note we study the uniqueness problem for collections of pennies and marbles. More generally, consider a collection of unit d-spheres that may touch but not overlap.
Sean Dewar   +4 more
doaj   +1 more source

On a Variant of the Minimum Path Cover Problem in Acyclic Digraphs: Computational Complexity Results and Exact Method

open access: yesNetworks, Volume 86, Issue 3, Page 325-357, October 2025.
ABSTRACT The Minimum Path Cover (MPC) problem consists of finding a minimum‐cardinality set of node‐disjoint paths that cover all nodes in a given graph. We explore a variant of the MPC problem on directed acyclic graphs (DAGs) where, given a subset of arcs, each path within the MPC should contain at least one arc from this subset.
Nour ElHouda Tellache, Roberto Baldacci
wiley   +1 more source

On extremal problems associated with random chords on a circle

open access: yesMathematika, Volume 71, Issue 4, October 2025.
Abstract Inspired by the work of Karamata, we consider an extremization problem associated with the probability of intersecting two random chords inside a circle of radius r,r∈(0,1]$r, \, r \in (0,1]$, where the endpoints of the chords are drawn according to a given probability distribution on S1$\mathbb {S}^1$.
Cynthia Bortolotto, João P. G. Ramos
wiley   +1 more source

New fiber and graph combinations of convex bodies

open access: yesMathematika, Volume 71, Issue 4, October 2025.
Abstract Three new combinations of convex bodies are introduced and studied: the Lp$L_p$ fiber, Lp$L_p$ chord, and graph combinations. These combinations are defined in terms of the fibers and graphs of pairs of convex bodies, and each operation generalizes the classical Steiner symmetral, albeit in different ways.
Steven Hoehner, Sudan Xing
wiley   +1 more source

Multi‐Region Brain Organoids Integrating Cerebral, Mid‐Hindbrain, and Endothelial Systems

open access: yesAdvanced Science, Volume 12, Issue 33, September 4, 2025.
Multi‐Region Brain Organoids combine cerebral, mid/hindbrain, and endothelial components into an advanced 3D model capturing 80% of fetal brain cellular diversity. This platform reveals essential endothelial‐neural signaling networks that maintain region‐specific intermediate progenitors during hindbrain development.
Anannya Kshirsagar   +10 more
wiley   +1 more source

IL7R+ T Cell‐Macrophage Crosstalk Links Asthma to Alzheimer's Pathogenesis: Integrating Mendelian Randomization and CellChat Analysis

open access: yesBrain and Behavior, Volume 15, Issue 9, September 2025.
β1 represents the regression coefficients for the association between moderate to severe asthma and mediators; β2 represents the regression coefficients for the association between mediators and Alzheimer's disease; β3 represents the total effect between moderate to severe asthma and Alzheimer's disease, without the adjustment for mediators.
Jing Yang   +6 more
wiley   +1 more source

Performance Improvement of Hybrid Vertical Axis Wind Turbines Equipped With J‐Shaped Blades

open access: yesEnergy Science &Engineering, Volume 13, Issue 9, Page 4433-4444, September 2025.
This study presents a novel hybrid vertical axis wind turbine, utilizing J‐shaped blades in Darrieus rotor. The proposed configuration shows the potential of J‐shaped blades in improving the overall performance of hybrid rotors. ABSTRACT Vertical axis wind turbines (VAWTs) are emerging as a promising solution for urban wind energy harvesting, owing to ...
Narges Kashani   +3 more
wiley   +1 more source

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