Results 41 to 50 of about 1,321,651 (326)

Crossing numbers of composite knots and spatial graphs [PDF]

, 2018
We study the minimal crossing number $c(K_{1}\# K_{2})$ of composite knots $K_{1}\# K_{2}$, where $K_1$ and $K_2$ are prime, by relating it to the minimal crossing number of spatial graphs, in particular the $2n$-theta curve $\theta_{K_{1},K_{2}}^n$ that
Bode, Benjamin
core   +3 more sources

The Crossing Numbers of Join Products of Paths and Cycles with Four Graphs of Order Five

Mathematics, 2021
The main aim of the paper is to establish the crossing numbers of the join products of the paths and the cycles on n vertices with a connected graph on five vertices isomorphic to the graph K1,1,3\e obtained by removing one edge e incident with some ...
Michal Staš
doaj   +1 more source

On the Degenerate Crossing Number [PDF]

Discrete & Computational Geometry, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ackerman, Eyal, Pinchasi, Rom
openaire   +2 more sources

Immersed disks, slicing numbers and concordance unknotting numbers [PDF]

, 2015
We study three knot invariants related to smoothly immersed disks in the four-ball. These are the four-ball crossing number, which is the minimal number of normal double points of such a disk bounded by a given knot; the slicing number, which is the ...
Owens, Brendan, Strle, Saso
core   +3 more sources

Parity Properties of Configurations

Mathematics, 2022
In the paper, the crossing number of the join product G*+Dn for the disconnected graph G* consisting of two components isomorphic to K2 and K3 is given, where Dn consists of n isolated vertices.
Michal Staš
doaj   +1 more source

Improvement on the Crossing Number of Crossing-Critical Graphs [PDF]

Discrete & Computational Geometry, 2020
AbstractThe crossing number of a graph G is the minimum number of edge crossings over all drawings of G in the plane. A graph G is k-crossing-critical if its crossing number is at least k, but if we remove any edge of G, its crossing number drops below k.
János Barát, Géza Tóth
openaire   +5 more sources

Anomalous fermion number nonconservation: Paradoxes in the level crossing picture [PDF]

, 2006
In theories with anomalous fermion number nonconservation, the level crossing picture is considered a faithful representation of the fermionic quantum number variation.
Burnier, Yannis
core   +2 more sources

N-flation: Non-Gaussianity in the horizon-crossing approximation [PDF]

, 2006
We analyze the cosmic non-gaussianity produced in inflation models with multiple uncoupled fields with monomial potentials, such as Nflation. Using the horizon-crossing approximation to compute the non-gaussianity, we show that when each field has the ...
Kim, Soo A, Liddle, Andrew R
core   +2 more sources

Triple crossing number and double crossing braid index [PDF]

Journal of Knot Theory and Its Ramifications, 2019
Traditionally, knot theorists have considered projections of knots where there are two strands meeting at every crossing. A triple crossing is a crossing where three strands meet at a single point, such that each strand bisects the crossing. In this paper we find a relationship between the triple crossing number and the double crossing braid index for
openaire   +3 more sources

Monotone Crossing Number [PDF]

, 2012
The monotone crossing number of G is defined as the smallest number of crossing points in a drawing of G in the plane, where every edge is represented by an x-monotone curve, that is, by a connected continuous arc with the property that every vertical line intersects it in at most one point.
János Pach, Géza Tóth
openaire   +1 more source