Questions tagged [degree-sequence]
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Simple graphs with prescribed degrees as disjoint union of simple subgraphs with prescribed degrees
Consider a set $V$ of $n$ vertices, and three degree sequences $a_i$, $b_i$ and $c_i$ such that $c_i = a_i+b_i$, $i=1..n$.
Assume these degree sequences are graphical: there exist simple graphs (no ...
5
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1
answer
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Graphs with constant edge imbalance
The imbalance of an edge $(u,v) \in E(G)$ of a graph $G$ is defined as $|d(u)-d(v)|$ ($d$ being, as usual the degree). (This concept was introduced by Albertson in 1997)
I'm interested in the set of ...
3
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Random graphs with prescibed degrees and triangles
In short: a random graph model generates (multi-)graphs with prescribed number of edges and minimal number of triangles for each vertex. Questions arise about the actual number of triangles and the ...
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Enumeration of graphs with a given and bounded degree sequence
What is the best known asymptotic formula for the number of graphs with a given degree sequence $(d_1, ... ,d_n)$, when the degrees are bounded by a constant and the number of vertices $n$ goes to ...
2
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Are two degree sequences compatible, for random simple graph generation?
Consider a set $V$ of $n$ vertices, and three degree sequences $a_i$, $b_i$ and $c_i$ such that $c_i = a_i+b_i$, $i=1..n$.
Assume these degree sequences are graphical: there exist simple graphs (no ...