10.9k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of MichiganUS1.5k papers
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7 papers · 2 filters
The genus of a random bipartite graph
Yifan Jing, Bojan Mohar
Archdeacon and Grable (1995) proved that the genus of the random graph is almost surely close to if . In this paper…
Finding a subdivision of a prescribed digraph of order 4
Frédéric Havet, A. Karolinna Maia, Bojan Mohar
The problem of when a given digraph contains a subdivision of a fixed digraph is considered. Bang-Jensen et al. laid out foundations for approaching this problem from the algor…
Exponentially many nowhere-zero -, -, and -flows
Zdeněk Dvořák, Bojan Mohar, Robert Šámal
We prove that, in several settings, a graph has exponentially many nowhere-zero flows. These results may be seen as a counting alternative to the well-known proofs of existence of…
Minimal obstructions to -polar cographs
Pavol Hell, César Hernández-Cruz, Cláudia Linhares Sales
A graph is a cograph if it is -free. A -polar partition of a graph is a partition of the set of vertices of into parts and such that the subgraph induced by…
Colourings with Bounded Monochromatic Components in Graphs of Given Circumference
Bojan Mohar, Bruce Reed, David R. Wood
We prove that every graph with circumference at most is -colourable such that every monochromatic component has size at most . The bound on the num…
3-Flows with Large Support
Matt DeVos, Jessica McDonald, Irene Pivotto +2
We prove that every 3-edge-connected graph has a 3-flow with the property that . The graph demonstrates that this $\frac{5}…
Construction and nonexistence of strong external difference families
Jonathan Jedwab, Shuxing Li
Strong external difference families (SEDFs) were introduced by Paterson and Stinson as a more restrictive version of external difference families. SEDFs can be used to produce opti…