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Questions of the kind "What's the name for a X that satisfies property Y?"

3 votes
0 answers
418 views

Name for matrices with vanishing row and column sums

Question: is there a special name for matrices whose rows and columns sum to zero? I actually need information about those matrices and thus a keyword for online search. Edit: as there apparently is …
Manfred Weis's user avatar
  • 13.2k
2 votes
1 answer
44 views

Name for a Property of Certain Polylines

Question: Is there already a name for polylines in the euclidean plane, that have the property, that no interior of none the triangles, defined by one of the polyline's endpoints and a non-a …
Manfred Weis's user avatar
  • 13.2k
3 votes
1 answer
626 views

"Eccentricity" in the Definition of Graph Center

On the Wikepdia Page Graph Center I saw that the center of graph is the set of vertices with minimal eccentricity, i.e the set of vertices, whose maximal distance to other vertices is minimal. On the …
Manfred Weis's user avatar
  • 13.2k
3 votes
1 answer
58 views

Name for Biconnected Tree+Cycle Graph

Is there an established name for graphs, that can be decomposed into a tree with at least three leaf nodes and a connected two-regular graph with the tree's leaf nodes as vertices? examples of …
Manfred Weis's user avatar
  • 13.2k
1 vote
1 answer
130 views

Functions with periodic sequence of derivative-values

Question: is there an established name for the set $\Big\lbrace\ f {\Large\ \boldsymbol{|}}\ f\in C^\infty\quad {\Large\boldsymbol{\land}}\quad \exists\,{k\in\mathbb{N}^+}:\frac{d^{i+k}}{dx^{i+k}}f(x) …
Manfred Weis's user avatar
  • 13.2k
2 votes
2 answers
1k views

Polar Coordinate Systems on Manifolds [closed]

Is there agreement on how to interpret $r$ and $\varphi$ on a manifold if a reference point and a reference direction are given, or, put differently, does the definition of a reference point and, of a …
Manfred Weis's user avatar
  • 13.2k
2 votes
1 answer
123 views

Name for a sum of dyadic vector products

Question: is there a name for the following operation $$\sum_{i=1}^n\sum_{j=1}^mx_iy_j^T,\ x_i,y_j\in \mathbb{R}^k$$ i.e. for generating a square matrix that is the sum of the cartesian product of a …
Manfred Weis's user avatar
  • 13.2k
2 votes
0 answers
274 views

What is a hull in the most general mathematical sense?

I have implemented an algorithm that filters the edges of simple complete graph with weighted edges according to a criterion that is inspired by elementary planar geometry and, to my surprise, in the …
Manfred Weis's user avatar
  • 13.2k
1 vote
0 answers
38 views

Name for a polynomial analogy to divided differences

Let $\lbrace(x_0,y_0),(x_1,y_1),\,\dots,\,(x_n,y_n)\ |\ x_i\ne x_j\rbrace\subset\mathbb{R}^2$ Let $P$ and $Q$ be the polynomials that interpolate $\lbrace(x_0,y_0),(x_1,y_1),\,\dots,\,(x_{n-1},y_{n-1} …
Manfred Weis's user avatar
  • 13.2k
6 votes
1 answer
259 views

Name for a matrices having a specific property

is there an established name for the property that a square matrix can be made symmetric by permutation of its columns? Is it possible to recognize those kind of matrices efficiently?
Manfred Weis's user avatar
  • 13.2k
3 votes
2 answers
1k views

Definition of the Moebius Ladder Graph

I found two different definitions of the Moebius Ladder Graph, whose essential difference is, whether the smallest one shall be $K_4$ or $K_{3,3}$. according to Wikipedia (http://en.wikipedia.org/w …
Manfred Weis's user avatar
  • 13.2k
2 votes
0 answers
73 views

Distorted elementary functions

Let $f(x)$ be an elementary function defined on $X\subseteq\mathbb{R}$ and $\xi(x), \eta(y)$ strictly monotone for $x\in X,\, y\in f(x)$. Questions: is there an established name for functions of the …
Manfred Weis's user avatar
  • 13.2k
0 votes
1 answer
60 views

Name for matrix associated to smooth continuation

Is there an established name for the matrices that establish the conditions for a linear combination of $n$ functions $\lbrace f_1(x),\dots,f_n(x)\rbrace$ being the $n$-times smoothly differentiable c …
Manfred Weis's user avatar
  • 13.2k
2 votes
1 answer
77 views

Name for specific cycles in graphs

Is there an established name for cycles $C\subseteq G(V,E)$ with the property that $$\lbrace u,v\rbrace\subseteq C\cap V\implies\mathrm{dist}_{|C}(u,v)\le \mathrm{dist}_{|G}(u,v)$$ I would be tempte …
Manfred Weis's user avatar
  • 13.2k
2 votes
1 answer
257 views

What do shortest-path algorithms actually calculate?

The motivation for this question is a statement about the Bellman-Ford algorithm, that doesn't agree with the definition of what a path in a graph is. On wikipedia's description of the Bellman-Ford Al …
Manfred Weis's user avatar
  • 13.2k

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