A randomized construction of high girth regular graphs
From MaRDI portal
Publication:6073632
DOI10.1002/rsa.20976zbMath1522.05470arXiv1911.09640OpenAlexW3103406641MaRDI QIDQ6073632
Publication date: 11 October 2023
Published in: Random Structures & Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.09640
Graph algorithms (graph-theoretic aspects) (05C85) Randomized algorithms (68W20) Eulerian and Hamiltonian graphs (05C45)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regular graphs of large girth and arbitrary degree
- Enumerating all Hamilton cycles and bounding the number of Hamilton cycles in 3-regular graphs
- The triangle-free process
- The sextet construction for cubic graphs
- Girths of bipartite sextet graphs
- Ramanujan graphs
- Cubic Ramanujan graphs
- On tail probabilities for martingales
- Constructions for cubic graphs with large girth
- Existence and explicit constructions of \(q+1\) regular Ramanujan graphs for every prime power \(q\)
- On random greedy triangle packing
- Short cycles in random regular graphs
- Constrainted graph processes
- The Final Size of the $C_{\ell}$-free Process
- On the girth of random Cayley graphs
- The Final Size of theC4-Free Process
- A proof of Alon’s second eigenvalue conjecture and related problems
- Random Graph Processes with Degree Restrictions
- A new series of dense graphs of high girth
- A High Girth Graph Construction
- The random k‐matching‐free process
- On the size of a random maximal graph
- Random maximalH-free graphs
- Large girth approximate Steiner triple systems
- On the Method of Typical Bounded Differences
- The Cℓ‐free process
- Concentration of multivariate polynomials and its applications