Results 31 to 40 of about 6,993 (154)
Minimal periodic foams with fixed inradius
Mathematika, Volume 71, Issue 2, April 2025.Abstract In this note, we show existence and regularity of periodic tilings of the Euclidean space into equal cells containing a ball of fixed radius, which minimize either the classical or the fractional perimeter. We also discuss some qualitative properties of minimizers in dimensions 3 and 4.
Annalisa Cesaroni, Matteo Novaga
wiley +1 more source
Basilica: New canonical decomposition in matching theory
Journal of Graph Theory, Volume 108, Issue 3, Page 508-542, March 2025.Abstract In matching theory, one of the most fundamental and classical branches of combinatorics, canonical decompositions of graphs are powerful and versatile tools that form the basis of this theory. However, the abilities of the known canonical decompositions, that is, the Dulmage–Mendelsohn, Kotzig–Lovász, and Gallai–Edmonds decompositions, are ...
Nanao Kita
wiley +1 more source
Nonviral targeted mRNA delivery: principles, progresses, and challenges
MedComm, Volume 6, Issue 1, January 2025.mRNA therapeutics work through mRNA‐encoded functional proteins and have shown great potential in various applications, including disease prophylaxis/immunotherapy, protein replacement, gene editing, and cellular reprogramming . Abstract Messenger RNA (mRNA) therapeutics have garnered considerable attention due to their remarkable efficacy in the ...
Xi He +15 more
wiley +1 more source
CAT(0) and cubulated Shephard groups
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Shephard groups are common generalizations of Coxeter groups, Artin groups, and graph products of cyclic groups. Their definition is similar to that of a Coxeter group, but generators may have arbitrary order rather than strictly order 2. We extend a well‐known result that Coxeter groups are CAT(0)$\mathrm{CAT}(0)$ to a class of Shephard ...
Katherine M. Goldman
wiley +1 more source
The Cox ring of a complexity-one horospherical variety
, 2016 Cox rings are intrinsic objects naturally generalizing homogeneous coordinate rings of projective spaces. A complexity-one horospherical variety is a normal variety equipped with a reductive group action whose general orbit is horospherical and of ...
Langlois, Kevin, Terpereau, Ronan
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Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink
Complexity, Volume 2025, Issue 1, 2025.Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi +6 more
wiley +1 more source
Gauss images of hyperbolic cusps with convex polyhedral boundary [PDF]
, 2009 We prove that a 3--dimensional hyperbolic cusp with convex polyhedral boundary is uniquely determined by its Gauss image. Furthermore, any spherical metric on the torus with cone singularities of negative curvature and all closed contractible geodesics ...
Fillastre, François, Izmestiev, Ivan
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Realizability of tropical pluri‐canonical divisors
Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.Abstract Consider a pair consisting of an abstract tropical curve and an effective divisor from the linear system associated to k$k$ times the canonical divisor for k∈Z⩾1$k \in \mathbb {Z}_{\geqslant 1}$. In this article, we give a purely combinatorial criterion to determine if such a pair arises as the tropicalization of a pair consisting of a smooth ...
Felix Röhrle, Johannes Schwab
wiley +1 more source
Metric combinatorics of convex polyhedra: cut loci and nonoverlapping unfoldings
, 2003 This paper is a study of the interaction between the combinatorics of boundaries of convex polytopes in arbitrary dimension and their metric geometry.
Miller, Ezra, Pak, Igor
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Projection volumes of hyperplane arrangements [PDF]
, 2010 We prove that for any finite real hyperplane arrangement the average projection volumes of the maximal cones is given by the coefficients of the characteristic polynomial of the arrangement. This settles the conjecture of Drton and Klivans that this held
Klivans, Caroline J., Swartz, Ed
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