Joonkyung Lee (이준경), Majority dynamics on sparse random graphs
Room B232 IBS (기초과학연구원)Majority dynamics on a graph
Majority dynamics on a graph
The aim of the Young Researchers in Extremal and Probabilistic Combinatorics is to bring together early career researchers working on these topics. The workshop will consist of several 25 minute talks across three days from October 20 to 22, 2021. Due to Covid the workshop will be held online. Invited Speakers & Program Oct. 20 …
Bouchet (1987) defined delta-matroids by relaxing the base exchange axiom of matroids. Oum (2009) introduced a graphic delta-matroid from a pair of a graph and its vertex subset. We define a
A family
The independence number of a tree decomposition
A well-known theorem of Whitney states that a 3-connected planar graph admits an essentially unique embedding into the 2-sphere. We prove a 3-dimensional analogue: a simply-connected 2-complex every link graph of which is 3-connected admits an essentially unique locally flat embedding into the 3-sphere, if it admits one at all. This can be thought of …
Matching minors are a specialisation of minors which preserves the existence and elementary structural properties of perfect matchings. They were first discovered as part of the study of the Pfaffian recognition problem on bipartite graphs (Polya's Permanent Problem) and acted as a major inspiration for the definition of butterfly minors in digraphs. In this talk …
On November 22-26, 2021, there is a "Graph Product Structure Theory" workshop in BIRS Centre in Banff (https://www.birs.ca/events/2021/5-day-workshops/21w5235), organized in a hybrid manner with 15 onsite participants and around 50 remote participants. We would like to meet in a group of 5-10 remote participants from Korea in one place, creating a secondary workshop site in …
The poset Ramsey number
Branchwidth determines how graphs, and more generally, arbitrary connectivity (basically symmetric and submodular) functions could be decomposed into a tree-like structure by specific cuts. We develop a general framework for designing fixed-parameter tractable (FPT) 2-approximation algorithms for branchwidth of connectivity functions. The first ingredient of our framework is combinatorial. We prove a structural theorem establishing …