A preferential attachment (PA) has been suggested to model
network evolution and to explain conjectured power-law node degree
distributions in real-world networks. In Markovich, Ryzhov (2022a,b),
the schemes of the linear PA proposed in Wan et al. (2020) for the
network evolution were suggested for information spreading. The PA and
the well-known algorithm SPREAD proposed in Mosk-Aoyama, Shah
(2006) were compared regarding the minimum number of evolution steps
K
∗
required to spread a single message among a fixed number of nodes
in non-homogeneous directed networks. This comparison was done in
Markovich, Ryzhov (2022a,b) without node and edge deletion during
the evolution. The objective of the current study is to investigate the AQ3
impact of the PA parameters on spreading of a single message to a fixed
number of nodes in the graph when an existing node or edge is uniformly
deleted at each step of the PA evolution. The results are provided for
simulated and real graphs.