English

On the discrepancies of graphs

Combinatorics 2020-02-28 v1

Abstract

In the literature, the notion of discrepancy is used in several contexts, even in the theory of graphs. Here, for a graph GG, {1,1}\{-1, 1\} labels are assigned to the edges, and we consider a family SG\mathcal{S}_G of (spanning) subgraphs of certain types, among others spanning trees, Hamiltonian cycles. As usual, we seek for bounds on the sum of the labels that hold for all elements of SG\mathcal{S}_G, for every labeling.

Keywords

Cite

@article{arxiv.2002.11793,
  title  = {On the discrepancies of graphs},
  author = {József Balogh and Béla Csaba and Yifan Jing and András Pluhár},
  journal= {arXiv preprint arXiv:2002.11793},
  year   = {2020}
}

Comments

15 pages

R2 v1 2026-06-23T13:55:18.325Z