Results 41 to 50 of about 7,009 (143)
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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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
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
core +2 more sources
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
Magic graphs and the faces of the Birkhoff polytope [PDF]
, 2004 Magic labelings of graphs are studied in great detail by Stanley and Stewart. In this article, we construct and enumerate magic labelings of graphs using Hilbert bases of polyhedral cones and Ehrhart quasi-polynomials of polytopes. We define polytopes of
Ahmed, Maya Mohsin
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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
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
Large-scale analysis and computer modeling reveal hidden regularities behind variability of cell division patterns in Arabidopsis thaliana embryogenesis. [PDF]
Elife, 2022 Laruelle E +4 more
europepmc +1 more source
On compositions of special cases of Lipschitz continuous operators. [PDF]
Fixed Point Theory Algorithm Sci Eng, 2021 Giselsson P, Moursi WM.
europepmc +1 more source