%0 Journal Article
%T The Generalized Burning Number of Gear Graph and Sun Graph
%A Jiaqing Wu
%A Yinkui Li
%J Journal of Applied Mathematics and Physics
%P 157-165
%@ 2327-4379
%D 2025
%I Scientific Research Publishing
%R 10.4236/jamp.2025.131007
%X Graph burning is a model for describing the spread of influence in social networks and the generalized burning number <math xmlns='http://www.w3.org/1998/Math/MathML'>
 <mrow>
  <msub>
   <mi>b</mi>
   <mi>r</mi>
  </msub>
  <mrow><mo>(</mo>
   <mi>G</mi>
  <mo>)</mo></mrow></mrow>
</math>

 of graph <math xmlns='http://www.w3.org/1998/Math/MathML'>
 <mi>G</mi>
</math>

 is a parameter to measure the speed of information spread on network <math xmlns='http://www.w3.org/1998/Math/MathML'>
 <mi>G</mi>
</math>

. In this paper, we determined the generalized burning number of gear graph, which is useful model of social network. We also provided properties of the generalized burning number of sun graphs, including characterizations and bounds.
%K Burning Number
%K Generalized Burning Number
%K Gear Graph
%K Sun Graph
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=139969