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

2 votes
1 answer
482 views

Name of vertices in the same orbit

Every now and then I wonder what the official name of the relation $\sim$ between two vertices in a graph $G$ is that are mapped to each other by a graph automorphism, i.e. which are "structurally ind …
Hans-Peter Stricker's user avatar
2 votes
4 answers
574 views

Simple adjective for "of the size of a proper class"?

It's just a wording question: How does one tell - by a simple adjective - that a collection is "of the size of a proper class"? Their might be several sizes of proper classes, but on the ot …
Hans-Peter Stricker's user avatar
10 votes
5 answers
883 views

What's the name of graphs with each vertex contained in a cycle?

A tree is a graph with no vertex contained in a cycle. A non-tree is a graph with some vertex contained in a cyle. What's the name of graphs with each vertex contained in a cycle?
Hans-Peter Stricker's user avatar
3 votes
1 answer
223 views

Yet another graph characteristic

I wonder if the following graph-theoretical concepts have been considered before, and if so, under which name. Consider a directed graph $G$ with $n$ nodes. Let the cycle number $\gamma(\nu)$ be …
Hans-Peter Stricker's user avatar
1 vote
0 answers
71 views

Another betweenness centrality measure: neighbourhood centrality

Among the many centrality measures that I have heard of, I miss the following (but maybe I'm just blind). Consider a graph $G$ with $k$ connected components $G_i$ of size $|G_i|$. The number of node p …
Hans-Peter Stricker's user avatar
3 votes
1 answer
214 views

Pairs of paths with the same source and target

Commutative diagrams usually express path equivalences in a category and thus involve pairs of paths in a category with the same source and target. General diagrams - in categories resp. category theo …
Hans-Peter Stricker's user avatar
4 votes
1 answer
430 views

Giving the same concept different names in the same paper

I found a seminal paper of renowned authors (Inference of Finite Automata Using Homing Sequences (1993) by Ron Rivest and Robert Schapire) in which the authors define the very same set-theoretic conce …
Hans-Peter Stricker's user avatar