We investigate the maximum size of graph families on a common vertex set of cardinality n such that the symmetric difference of the edge sets of any two members of the family satisfies some prescribed condition.
Feb 14, 2022
Structured Codes of Graphs. Noga Alon1. Anna Gujgiczer2. János Körner3. Aleksa Milojevic4. Gábor Simonyi5. 1Department of Mathematics, Princeton University ...
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Abstract. We investigate the maximum size of graph families on a common vertex set of cardinality \(n\) such that the symmetric difference of the edge sets ...
Jul 17, 2023 · We study several phase transition problems related to M_{\mathcal{F}}(n) in general settings and present a partial solution to a recent problem posed by Alon ...
Fingerprint · Asymptotics · Edge · Open Problem · Chromatic Number · Cardinality · Extremal Graph Theory · Simple Function · Local Condition Mathematics 100%.
A collection of graphs on is called an -(graph)-code if it contains no two members whose symmetric difference is a graph in.
These concepts are recently investigated by Alon, Gujgiczer, Körner, Milojević, and Simonyi, with the aim of providing a new graphic approach to coding theory.
Request PDF | On Mar 3, 2023, Noga Alon and others published Structured Codes of Graphs | Find, read and cite all the research you need on ResearchGate.
The graph structure theorem is a major result in the area of graph theory. The result establishes a deep and fundamental connection between the theory of graph ...
This is proven using classical results from extremal graph theory. Several variants are considered and the paper ends with a collection of open problems.