Bounding threshold dimension: realizing graphic Boolean functions as the AND of majority gates
From MaRDI portal
Publication:6043188
DOI10.1007/978-3-031-15914-5_18arXiv2202.12325OpenAlexW4312302155MaRDI QIDQ6043188
Rogers Mathew, Atrayee Majumder, Mathew C. Francis
Publication date: 5 May 2023
Published in: Graph-Theoretic Concepts in Computer Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.12325
treewidthboxicitythreshold graphsthreshold dimensionintersection dimensiondepth-2 circuitsgraphic Boolean functionmajority gates
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The hardness of approximating the boxicity, cubicity and threshold dimension of a graph
- Boxicity, poset dimension, and excluded minors
- A new upper bound for diagonal Ramsey numbers
- Geometric representation of graphs in low dimension using axis parallel boxes
- A special planar satisfiability problem and a consequence of its NP- completeness
- Intersection dimensions of graph classes
- Tree-width, path-width, and cutwidth
- Algorithmic graph theory and perfect graphs
- Threshold graphs and related topics
- Representing graphs as the intersection of cographs and threshold graphs
- Cubicity, degeneracy, and crossing number
- Boxicity and treewidth
- Local boxicity and maximum degree
- The Complexity of the Partial Order Dimension Problem
- Bithreshold Graphs
- Graph minors. II. Algorithmic aspects of tree-width
- The dimension of random ordered sets
- Paths in graphs