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Results tagged with graph-theory
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user 78864
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.
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Existence of a strongly regular vertex ordering on cubic graphs
Definition: Let $G=(V,E)$ be a cubic (i.e. $3$-regular) graph, and $<$ a total order on $V$. For $v\in V$ let $v^\downarrow$ denote the set of nodes $w\in V$ such that $w<v$, and let $\alpha(v) = |N_v …
- 191
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Existence of a strongly regular vertex ordering on cubic graphs
Recall that a graph $G=(V,E)$ is cyclically $k$-connected if any subgraph $G=(V,E')$ with $|E|-|E'| < k$ contains at most one component with a cycle.
Proposition: Any cyclically $4$-connected cubic gr …
- 191