Extending graph burning to hypergraphsBurgess, Andrea C. (Avtor) Jones, Caleb W. (Avtor) Pike, David A. (Avtor) Combinatorial games on graphspursuit-evasiongraph searchinggraph burninghypergraph theoryGraph burning is a round-based game or process that discretely models the spread of influence throughout a network. We introduce a generalization of graph burning which applies to hypergraphs, as well as a variant called "lazy" hypergraph burning. Interestingly, lazily burning a graph is trivial, while lazily burning a hypergraph can be quite complicated. Moreover, the lazy burning model is a useful tool for analyzing the round-based model. One of our key results is that arbitrary hypergraphs do not satisfy a bound analogous to the one in the Burning Number Conjecture for graphs. We also obtain bounds on the burning number and lazy burning number of a hypergraph in terms of its parameters, and present several open problems in the field of (lazy) hypergraph burning.Založba Univerze na Primorskem20262026-08-18 11:48:09Članek v reviji23517sl