Asymptotic bounds on total domination in regular graphs
From MaRDI portal
Publication:2659200
DOI10.1016/j.disc.2020.112287zbMath1460.05146arXiv1812.03560OpenAlexW3120080034MaRDI QIDQ2659200
Publication date: 25 March 2021
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.03560
Random graphs (graph-theoretic aspects) (05C80) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Properties of regular graphs with large girth via local algorithms
- The cook-book approach to the differential equation method
- Total domination of graphs and small transversals of hypergraphs
- Total domination in graphs with given girth
- The asymptotic distribution of short cycles in random regular graphs
- A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
- The asymptotic number of labeled graphs with given degree sequences
- Local algorithms, regular graphs of large girth, and random regular graphs
- Local algorithms for independent sets are half-optimal
- Total domination in regular graphs
- Suboptimality of local algorithms for a class of max-cut problems
- Transversals in 5-uniform hypergraphs and total domination in graphs with minimum degree five
- Graph Theory and Probability
- Total domination in graphs
- Some remarks on domination
- Graphs with large total domination number
- Total Domination in Graphs
- On large‐girth regular graphs and random processes on trees
- Reducibility among Combinatorial Problems
- On the Independent Domination Number of Random Regular Graphs
- Randomized greedy algorithms for finding smallk-dominating sets of regular graphs
- Limits of local algorithms over sparse random graphs