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Resolution of the Erdős‑Sós Conjecture via Graphon Stability — SAC‑01 - A Traditional Validator‑Grade, Reproducible Synthesis with ARK Replication Suite

Fuente: Zenodo

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Détails bibliographiques
Auteur principal:	Forrest M. Anderson, Forrest
Format:	Recurso digital
Langue:	anglais
Publié:	Zenodo 2026
Sujets:	Erdős–Sós Conjecture Extremal Graph Theory Tree Embedding Dense Graphs Szemerédi Regularity Lemma Super‑Regular Pairs Blow‑Up Lemma Reduced Graph Degree‑Splitting Absorption Method Reservoir Method Alternating‑Path Gadgets Hall‑Type Matching Stability Method Simonovits Stability Hyperstability Pseudorandom Graphs Spectral Methods Expansion Methods Steering Algorithms Fallback Embedding Sealing Operator Slack Reassignment Robust Embeddings Perturbation Analysis Tool‑Agnostic Replication Canonical Artifacts Replication Suite Audit Certificates Capacity Invariants Edit‑Distance Stability Turán Graphs Turán‑Type Templates Bounded‑Degree Trees Embedding Pipelines Graph Partitioning Cluster Capacities Irregularity Absorption Convergence Guarantees Monotone Residual Reduction Cross‑Disciplinary Replication Reproducible Mathematics Validator‑Grade Proof Architecture Combinatorics Graph Algorithms Algorithmic Graph Theory Structural Graph Theory Pseudorandomness Combinatorial Optimization Mathematical Verification Formal Proof Pipelines Reproducible Research Computational Combinatorics High‑Detail Proof Engineering Canonicalization Framework Robustness Verification Embedding Stability Graph Density Thresholds Extremal Templates Graph Decomposition Tree Structures Graph Embedding Theory Mathematical Replication Protocols Cross‑Platform Verification Audit‑Ready Proof Artifacts Deterministic Embedding Framework Parameter Hierarchy Slack‑Driven Embedding Cluster‑Preserving Relabelings Equivalence Classes of Embeddings Convergence Bounds Perturbation‑Resilient Embeddings Graph Edit Distance Super‑Regular Expansion Reservoir‑Based Completion Absorber Gadgets Replication Soundness Replication Completeness Canonical Equivalence MSC2020: 05C05 MSC2020: 05C35 MSC2020: 05C38 MSC2020: 05C80 MSC2020: 05C85 MSC2020: 05D99 MSC2020: 68R10 MSC2020: 68W40 MSC2020: 68Q25 MSC2020: 68Q87 MSC2020: 68T99 MSC2020: 68V30 MSC2020: 68N30 MSC2020: 68W20 MSC2020: 68W10 MSC2020: 68Q17 MSC2020: 68Q19 MSC2020: 68Q70 MSC2020: 68Q87 MSC2020: 68U99 Mathematics, Extremal Graph Theory, Graphon Limit Theory, Erdős-Sós Conjecture, Homomorphism Density, Sidorenko's Conjecture, Persistent Homology, Topological Data Analysis, Spectral Graph Theory, Discrete Mathematics, Functional Analysis, Combinatorics, Graph Theory, MSC 05C35, MSC 05C07, MSC 05C70, MSC 05C80, MSC 46N99, LCC QA166, Asymptotic Analysis, Adjacency Matrix Stability, Structural Graph Theory, Graphon Manifold, Non-Parametric Graph Modeling, Extremal Combinatorics, Boundary Theory
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Internet

https://doi.org/10.5281/zenodo.19660929