Article citationsMore>>
Bonato, A., Janssen, J. and Roshanbin, E. (2014) Burning a Graph as a Model of Social Contagion. In: Bonato, A., Graham, F. and Prałat, P., Eds., Lecture Notes in Computer Science, Springer International Publishing, 13-22.
https://doi.org/10.1007/978-3-319-13123-8_2
has been cited by the following article:
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TITLE:
Note on the Burning Conjecture for Some Graphs
AUTHORS:
Qiuye Zhu, Yinkui Li
KEYWORDS:
Graph Burning, Burning Number, Octopus Graph, Bicyclic Graph
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.15 No.5,
May
9,
2025
ABSTRACT: Graph burning is a model for describing the spread of influence in social networks and the burning number is a parameter used to describe the speed of information spread. In 2016, Bonato proposed a graph burning conjecture: For any connected graph
G
with order
n
, the burning number
b(
G
)≤⌈
n
⌉
. In this paper, we confirm the burning conjecture for octopus graph and bicyclic graph.