Geodesic
A Mathon-type construction for digraphs and improved lower bounds for Ramsey numbers
Dermot McCarthy1 ; Chris Monico1
1Texas Tech University
The electronic journal of combinatorics, Tome 32 (2025) no. 2
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We construct an edge-colored digraph analogous to Mathon's construction for undirected graphs.We show that this graph is connected to the $k$-th power Paley digraphs and we use this connection to produce improved lower bounds for multicolor directed Ramsey numbers.
DOI : 10.37236/13294
Classification : 05C55, 05C15, 05C20
Mots-clés : edge-colored digraph, Paley digraphs

Dermot McCarthy  1   ; Chris Monico  1

1 Texas Tech University 
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     title = {A {Mathon-type} construction for digraphs and improved lower bounds for {Ramsey} numbers},
     journal = {The electronic journal of combinatorics},
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Dermot McCarthy; Chris Monico. A Mathon-type construction for digraphs and improved lower bounds for Ramsey numbers. The electronic journal of combinatorics, Tome 32 (2025) no. 2. doi: 10.37236/13294

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