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5 votes
3 answers
411 views

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 ...
Matthieu Latapy's user avatar
3 votes
0 answers
107 views

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 ...
Matthieu Latapy's user avatar
2 votes
0 answers
69 views

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 ...
Matthieu Latapy's user avatar