Kavli Affiliate: Wei Gao
| First 5 Authors: Wei Gao, Yaojun Chen, Hainan Zhang, ,
| Summary:
The isolated toughness variant is a salient parameter for measuring the
vulnerability of networks, which is inherently related to fractional factors
(used to characterize the feasibility of data transmission). The combination of
minimum degree and the corresponding tight bound of isolated toughness variant
for fractional factors provide reference standards for network construction.
However, previous advances only focused on how to select the optimal parameter
criteria from Pareto front, without any suggestion for the construction of
specific networks. To overcome this deficiency, this paper proposes an inverse
model from $(delta(G),I'(G))$ to $G$, by means of evolutionary computing
approach, we propose a novel inverse model to obtain the optimal solutions for
candidate graphs. The main procedure is composed of pseudo-greedy acceleration,
cross-mutation and diversity enhancement modules. The practicality of the
algorithm is verified by means of pilot experiments. The code in this paper is
made public on
https://github.com/AizhEngHN/Inverse-model-for-network-construction-G-I-G-G.
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