Extremal Regular Graphs: Independent Sets and Graph Homomorphisms
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Publication:4575432
DOI10.4169/amer.math.monthly.124.9.827zbMath1391.05142arXiv1610.09210OpenAlexW2545735748MaRDI QIDQ4575432
Publication date: 13 July 2018
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.09210
Extremal problems in graph theory (05C35) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)
Related Items (16)
Approximately Counting Independent Sets of a Given Size in Bounded-Degree Graphs ⋮ Homomorphisms into loop-threshold graphs ⋮ Diagonal Ramsey via effective quasirandomness ⋮ Minimizing the number of independent sets in triangle-free regular graphs ⋮ Maximizing and minimizing the number of generalized colorings of trees ⋮ Counting independent sets in regular hypergraphs ⋮ On the number of independent sets in uniform, regular, linear hypergraphs ⋮ A proof of the upper matching conjecture for large graphs ⋮ Counting proper colourings in 4-regular graphs via the Potts model ⋮ Extremal colorings and independent sets ⋮ Tight bounds on the coefficients of partition functions via stability ⋮ Toward a Nordhaus-Gaddum inequality for the number of dominating sets ⋮ Independent sets in \(n\)-vertex \(k\)-chromatic \(\ell \)-connected graphs ⋮ Counting independent sets in cubic graphs of given girth ⋮ The number of independent sets in an irregular graph ⋮ A reverse Sidorenko inequality
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- Maximizing H‐Colorings of a Regular Graph
- Independent sets, matchings, and occupancy fractions
- On the Widom–Rowlinson Occupancy Fraction in Regular Graphs
- An inequality related to the isoperimetric inequality
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