arXiv:2607. 10194v1 Announce Type: cross Abstract: We present IsalHG, a method for representing the structure of any finite, connected hypergraph of bounded hyperedge arity as a string over a compact instruction alphabet $\Sigma_{\mathrm{HG}}$.
By Mario Pascual-Gonzalez, Ezequiel Lopez-Rubio
arXiv:2608. 11211v1 Announce Type: new Abstract: Conway's 99-graph problem asks whether a strongly regular graph with parameters $\mathrm{srg}(99,14,1,2)$ exists.
By Aalok Thakkar
arXiv:2609.16412v1 Announce Type: cross
Abstract: Whitney's theorem allows isomorphism testing for connected simple graphs, apart from $K_3$ and $K_{1,3}$, to be formulated as distinguishing their li...
By Fan Yang
AutoGraphForge is a computational pipeline designed to automate the discovery, refutation, formalization, and proving of graph-theoretic conjectures. It generates conjectures using a Graffiti3 generator, filters out known results with a novelty filter, tests candidates against a large dataset of graphs, and refines surviving conjectures through counterexample search. The pipeline then translates each conjecture into Lean 4, verifies proofs with neural provers, and integrates the results into a formal library.
By J\'an Pastorek
arXiv:2604. 08485v2 Announce Type: replace-cross Abstract: The purpose of this paper is two-fold.
By Jae-Hyun Baek, Jon-Lark Kim
arXiv:2605.20434v2 Announce Type: replace-cross
Abstract: We study the contradiction graphs associated with a binary concept class. For a class $H\subseteq\{0,1\}^X$, the order-$m$ contradiction grap...
By Jesse Campbell, Daniel Ibaibarriaga, Lev Reyzin