9 papers
RamseyGadgets: A Graph Construction Dataset for LLMs
Zohair Raza Hassan, Deepak Pandita
Constructing special graphs is an important task within graph theory and computer science. Many popular graph constructions are the result of a comprehensive exploration of relevan…
On Small Folkman Graphs Arrowing or
Zohair Raza Hassan, Stanisław Radziszowski, Steven Van Overberghe
For a graph and integers , we say that if in any -coloring of 's vertices there exists a monochromatic -clique…
On the Parallelizability of Approval-Based Committee Rules
Zack Fitzsimmons, Zohair Raza Hassan, Edith Hemaspaandra
Approval-Based Committee (ABC) rules are an important tool for choosing a fair set of candidates when given the preferences of a collection of voters. Though finding a winning comm…
The Complexity of (P3, H)-Arrowing and Beyond
Zohair Raza Hassan
Often regarded as the study of how order emerges from randomness, Ramsey theory has played an important role in mathematics and computer science, giving rise to applications in num…
The Complexity of -Arrowing
Zohair Raza Hassan, Edith Hemaspaandra, Stanisław Radziszowski
For fixed nonnegative integers and , the -Arrowing problem asks whether a given graph, , has a red/blue coloring of such that there are no red co…
On Some Generalized Vertex Folkman Numbers
Zohair Raza Hassan, Yu Jiang, David E. Narváez +2
For a graph and integers , the expression means that for any -coloring of the vertices of there exists a monochromatic -…