How to make a graph bipartite

@article{Erds1988HowTM,
  title={How to make a graph bipartite},
  author={P. Erd{\"o}s and R. Faudree and J. Pach and J. Spencer},
  journal={J. Comb. Theory, Ser. B},
  year={1988},
  volume={45},
  pages={86-98}
}
Let G be a graph with vertex set V(G) and edge set E(G), respectively. The set of vertices adjacent to an x e V(G) is denoted by F(x), and the degree of x isd(x) = IF(x)l . For any subset V 'g V(G), letG( V)denote the subgraph of G induced by the vertices ofV'.Further, let K n stand for the complete graph on n vertices . It is easily seen(e.g.,Erdos (7)) that every graph G with n vertices and in edges contains a bipartite subgraph H such that iE(H)l>IE(G)1/2 = m/2, i.e.,every graph can be made… Expand
71 Citations
Linear-Time Algorithms for the Max Cut Problem
  • 18
On the Edge Distribution of a Graph
  • V. Nikiforov
  • Computer Science, Mathematics
  • Combinatorics, Probability and Computing
  • 2001
  • 6
  • PDF
A note on bipartite subgraphs and triangle-independent sets
  • Honghai Xu
  • Mathematics, Computer Science
  • Discret. Math.
  • 2017
  • 1
  • PDF
On the editing distance of graphs
  • 29
On the Edge Distribution in Triangle-free Graphs
  • M. Krivelevich
  • Computer Science, Mathematics
  • J. Comb. Theory, Ser. B
  • 1995
  • 23
Cycle-maximal triangle-free graphs
  • 4
  • PDF
Judicious partitions of graphs
  • 33
  • PDF
Triangle-independent sets vs. cuts
  • 4
  • Highly Influenced
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 14 REFERENCES
Graph Theory and Probability
  • 230
  • PDF
On some extremal problems in graph theory
  • 73
  • PDF
Graph Theory with Applications
  • 2,126
  • PDF
More results on Ramsey—Turán type problems
  • 62
  • PDF
A Dense Infinite Sidon Sequence
  • 140
  • PDF
Probabilistic Methods in Combinatorics
  • 535
  • PDF
Asymptotic lower bounds for Ramsey functions
  • J. Spencer
  • Computer Science, Mathematics
  • Discret. Math.
  • 1977
  • 230
On the Strength of a Graph
  • On the Strength of a Graph
  • 1985
Random Graphs
  • 5,796
...
1
2
...