4 citations · 28 across the 18 of their papers we have counts for
9 papers · 1 filter
Building Hamiltonian Cycles in the Semi-Random Graph Process in Less Than Rounds
Alan Frieze, Pu Gao, Calum MacRury +2
The semi-random graph process is an adaptive random graph process in which an online algorithm is initially presented an empty graph on vertices. In each round, a vertex is…
Sharp Thresholds in Adaptive Random Graph Processes
Calum MacRury, Erlang Surya
The -process is a single player game in which the player is initially presented the empty graph on vertices. In each step, a subset of edges is independently s…
A Fully Adaptive Strategy for Hamiltonian Cycles in the Semi-Random Graph Process
Pu Gao, Calum MacRury, Pawel Pralat
The semi-random graph process is a single player game in which the player is initially presented an empty graph on vertices. In each round, a vertex is presented to the pla…
Perfect Matchings in the Semi-random Graph Process
Pu Gao, Calum MacRury, Pawel Pralat
The semi-random graph process is a single player game in which the player is initially presented an empty graph on vertices. In each round, a vertex is presented to the pla…
The Phase Transition of Discrepancy in Random Hypergraphs
Calum MacRury, Tomáš Masařík, Leilani Pai +1
Motivated by the Beck-Fiala conjecture, we study the discrepancy problem in two related models of random hypergraphs on vertices and edges. In the first (edge-independent)…
Hamilton Cycles in the Semi-random Graph Process
Pu Gao, Bogumil Kaminski, Calum MacRury +1
The semi-random graph process is a single player game in which the player is initially presented an empty graph on vertices. In each round, a vertex is presented to the pla…
Localization Game for Random Graphs
Andrzej Dudek, Sean English, Alan Frieze +2
We consider the localization game played on graphs in which a cop tries to determine the exact location of an invisible robber by exploiting distance probes. The corresponding grap…
Probabilistic Zero Forcing on Random Graphs
Sean English, Calum MacRury, Pawel Pralat
Zero forcing is a deterministic iterative graph coloring process in which vertices are colored either blue or white, and in every round, any blue vertices that have a single white…
Zero Forcing Number of Random Regular Graphs
Deepak Bal, Patrick Bennett, Sean English +2
The zero forcing process is an iterative graph colouring process in which at each time step a coloured vertex with a single uncoloured neighbour can force this neighbour to become…