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Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.

2 votes
2 answers
262 views

strongly regular graph as two-graph

is any strongly regular graph a regular two-graph? two-graph:a two graph is a collection $B$ of 3-subsets a set $X$ with the property that, for any 4-subset $Y$ of $X$, an even numbers of $B$ belong …
mj125's user avatar
  • 179
0 votes

strongly regular graph as two-graph

ok, that's right, if $\Gamma$ is strongly regular graph with parameters $(v,k,\lambda,\mu)$ then it's regular two-graph if and only if $k=2\mu$
mj125's user avatar
  • 179
2 votes
1 answer
239 views

classify strongly regular graph with parameter (25,12,5,6)

how can i classify strongly regular graph with parameter $(25,12,5,6)$? just i know we have fifteen $SRG(25,12,5,6)$ that two come from latin square(5)
mj125's user avatar
  • 179
0 votes
0 answers
621 views

transversal design

Let D denote a $1-(n, κ, m)$ design where two distinct blocks have at most one point in common (i.e. D is a partial linear space). Then the block graph $\Gamma(D)$ has the blocks of D as vertices and …
mj125's user avatar
  • 179
3 votes
3 answers
332 views

Mclaughlin Graph

how can i construct a strongly regular graph with parameter $(275,112,30,56)$(Mclaughlin Graph), (105,32,4,12)? I need adjacency matrix of them? I know they are unique.
mj125's user avatar
  • 179
0 votes
1 answer
246 views

two non-degenerate quadratic forms on $GF(2)^2r$

I know this: There are two non-degenerate quadratic forms on $GF(2)^2r$. The hyperbolic form may be taken to be $Q^+(x)=x_0 x_1 + \cdots +x_{2r-2}x_{2r-1}$ , and the elliptic form to be $Q^-(x)=x^2 …
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  • 179