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May 4 at 19:33 comment added JIOOOOOOOOOOCb 3. Lovasz theta of an edge-transitive graph is realized on its adjacency matrix. A chromatic number and fractional chromatic number of a vertex-transitive n-vertex graph have ratio at most log(n).
May 2 at 12:59 comment added Corentin B 2. doesn’t hold in either setting. Take A two adjacent vertices, and B two far away vertices (with different labels in the bipartite setting). Then the union of neighborhood is smaller for A than B, as the neighborhood around points of A intersects.
May 2 at 12:57 comment added Corentin B 1. holds even for usual vertex-transitive graphs, and doesn’t hold in the bipartite setting.
May 2 at 10:25 history asked tom jerry CC BY-SA 4.0