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10 第四届中国运筹青年论坛 | 青年报告

Information diffusion models on signed networks

曲存全 山东大学

A signed network represents how a set of nodes are connected by two logically different types of
links: positive and negative. Such opposite kinds of connections may play dramatically different
roles in a spreading process of information, opinion, behavior. In this poster, we introduce two
information diffusion models proposed recently.

Model 1: information spreading with relative attributes. In this model, each node's infection rate is
determined by the relationship between the originator and the current sender.

Model 2: biased information diffusion model. Compared with Model 1, each node's infection rate is

determined by the relationship between the originator and the current receiver.

The Eulerian Distribution on Involutions of Hyperoctahedral

Group is Indeed Gamma-positive

刘丽 曲阜师范大学

B
Let I denote the set of the involutions of the hyperoctahedral group B ,
n
n
and let des B(π)denote the number of descents of the permutation π

∈ B . We settle a problem of MoustakasሾGraphs and Combin. 35(2019)1077
n
− 1090ሿwhich states that

I_n^B(t) ≔ ∑_{π ∈ I_n^B}t^{{\rm des}_B(π)}

is \gamma − positive for n\ge 1.