Results 161 to 170 of about 786,749 (367)
A note on zero-divisor graph of amalgamated duplication of a ring along an ideal
Let be a commutative ring and be a non-zero ideal of . Let be the subring of consisting of the elements for and . In this paper we characterize all isomorphism classes of finite commutative rings with identity and ideal such that is planar.
A. Mallika, R. Kala
doaj +1 more source
Planar transitive graphs [PDF]
We prove that the first homology group of every planar locally transitive finite graph $G$ is a finitely generated ${\rm Aut}(G)$-module and we prove a similar result for the fundamental group of locally finite planar Cayley graphs. Corollaries of these results include Droms's theorem that planar groups are finitely presented and Dunwoody's theorem ...
arxiv
Differential geometry of a surface at a planar point [PDF]
V. G. Grove
openalex +1 more source
Abstract Purpose Single‐isocenter multitarget (SIMT) radiosurgery has become increasingly popular as advancement in planning and delivery systems have made this approach clinically viable. With targets varying in size and distance from isocenter, SIMT plans are highly complex with dynamic multileaf collimator (MLC) motion.
Hem Moktan+3 more
wiley +1 more source
Architected Lattices with a Topological Transition
This article develops topological metamaterials showing multidirectional two‐step deformation under compression by embedding contact‐enabled topological mechanisms into lattice structures. Experiments on 3D‐printed 2D and 3D lattices and finite element simulations are conducted to demonstrate the working principle of the topological metamaterials.
Shivam Agarwal, Lihua Jin
wiley +1 more source
The Weinstein conjecture for iterated planar contact structures [PDF]
In this paper, we introduce the notions of an iterated planar Lefschetz fibration and an iterated planar open book decomposition and prove the Weinstein conjecture for contact manifolds supporting an open book that has iterated planar pages. For $n\geq 1$, we show that a $(2n+1)$-dimensional contact manifold $M$ supporting an iterated planar open book ...
arxiv
On the Closed Link Polygons belonging to a system of Co-planar Forces having a Single Resultant [PDF]
M. J. M. Hill
openalex +1 more source
Abstract Purpose Palliative radiotherapy comprises a significant portion of the radiation treatment workload. Volumetric‐modulated arc therapy (VMAT) improves dose conformity and, in conjunction with flattening filter free (FFF) delivery, can decrease treatment times, both of which are desirable in a population with a high probability of retreatment ...
Madeleine L. Van de Kleut+2 more
wiley +1 more source
On the Recognition of Fan-Planar and Maximal Outer-Fan-Planar Graphs [PDF]
Fan-planar graphs were recently introduced as a generalization of 1-planar graphs. A graph is fan-planar if it can be embedded in the plane, such that each edge that is crossed more than once, is crossed by a bundle of two or more edges incident to a common vertex. A graph is outer-fan-planar if it has a fan-planar embedding in which every vertex is on
arxiv
Calculation of Urey-Bradley Potential Constants. I. Planar XY3 Molecules. [PDF]
E. Meisingseth+5 more
openalex +1 more source