Ramsey Graphs and Block Designs. I

DOI10.2307/1997368zbMath0307.05126OpenAlexW4254574077MaRDI QIDQ4063186

T. D. Parsons

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997368

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Combinatorial aspects of block designs (05B05) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (24)

Multipartite graph-sparse graph Ramsey numbers ⋮ On three color Ramsey numbers \(R(C_4, C_4, K_{1, n})\) ⋮ On three-color Ramsey numbers \(R(C_{4},K_{1,m},P_{n})\) ⋮ On the 3-color Ramsey numbers \(R(C_4,C_4,W_n)\) ⋮ Ramsey numbers of several \(K_{t,s}\) and a large \(K_{m,n}\) ⋮ Ramsey Numbers on a Union of Identical Stars Versus a Small Cycle ⋮ A result on \(C_ 4\)-star Ramsey numbers ⋮ A note on the Ramsey number of \(K_{2,2}\) versus \(K_{3,n}\) ⋮ Ramsey Size Linear Graphs ⋮ Some values of Ramsey numbers for \(C_4\) versus stars ⋮ Induced Ramsey number for a star versus a fixed graph ⋮ Bounds for two multicolor Ramsey numbers concerning quadrilaterals ⋮ Ramsey numbers of the quadrilateral versus books ⋮ Ramsey non-goodness involving books ⋮ Ramsey numbers of \(C_4\) versus wheels and stars ⋮ Multicolor Ramsey numbers of bipartite graphs and large books ⋮ QUADRILATERAL-TREE PLANAR RAMSEY NUMBERS ⋮ Strongly regular graphs and finite Ramsey theory ⋮ Configurations in projective planes and quadrilateral-star Ramsey numbers ⋮ Polarity graphs and Ramsey numbers for \(C_4\) versus stars ⋮ Graphs from projective planes ⋮ Unnamed Item ⋮ Exact Ramsey numbers in multipartite graphs arising from Hadamard matrices and strongly regular graphs ⋮ Some geometric structures and bounds for Ramsey numbers

Cites Work

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• Path-cycle Ramsey numbers
• All Ramsey numbers for cycles in graphs
• Corrigendum: The class group of a cyclic p-group
• The Ramsey numbers r(P\(_m\),K\(_n\))
• Path-star Ramsey numbers
• \((v,k,\lambda)\)-graphs and polarities of \((v,k,\lambda)\)-designs
• A generalization of the matrix equation \(A^ 2=J\)
• Generalized Ramsey theory for graphs. III: Small off-diagonal numbers
• A Ramsey-type problem for paths in digraphs
• Ramsey numbers for cycles in graphs
• Generalized Ramsey theory for graphs. I: Diagonal numbers
• On a Ramsey-type problem of J. A. Bondy and P. Erdős. I
• A partition calculus in set theory
• Upper bounds for some Ramsey numbers
• On Graphs that do not Contain a Thomsen Graph
• On a combinatorial generalization of 27 lines associated with a cubic surface
• Some graph theoretic results associated with Ramsey's theorem
• Dichromatic graphs and Ramsey numbers
• An Application of Ramsey's Theorem
• On the existence of specified cycles in complementary graphs
• Generalized Ramsey Theory for Graphs. II. Small Diagonal Numbers
• Generalized Ramsey theory for graphs
• A Variation of the Friendship Theorem
• Hypergraphs and Ramseyian Theorems
• Some remarks on the theory of graphs
• Combinatorial Relations and Chromatic Graphs

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