5 citations · 7 across the 7 of their papers we have counts for
7 papers
Disproof of a conjecture on the minimum Wiener index of signed trees
Songlin Guo, Wei Wang, Chuanming Wang
The Wiener index of a connected graph is the sum of distances between all unordered pairs of vertices. Sam Spiro [The Wiener index of signed graphs, Appl. Math. Comput., 416(2022)1…
On the walk matrix of the Dynkin graph
Wei Wang, Chuanming Wang, Songlin Guo
Let denote the walk matrix of the Dynkin graph , a tree obtained from the path of order by adding a pendant edge at the second vertex. We prove that $\text{rank…
A recursive algorithm for trees and forests
Song Guo, Victor J. W. Guo
Trees or rooted trees have been generously studied in the literature. A forest is a set of trees or rooted trees. Here we give recurrence relations between the number of some kind…
Proof of a recent conjecture of Z.-W. Sun
Song Guo, Victor J. W. Guo
The polynomials are defined by \begin{align*} d_n(x) &= \sum_{k=0}^n{n\choose k}{x\choose k}2^k. \end{align*} We prove that, for any prime , the following congruences h…
On Bialostocki's conjecture for zero-sum sequences
Song Guo, Zhi-Wei Sun
Let be a positive even integer, and let and be integers satisfying . A conjecture of Bialostock…
A variant of Tao's method with application to restricted sumsets
Song Guo, Zhi-Wei Sun
In this paper, we develop Terence Tao's harmonic analysis method and apply it to restricted sumsets. The well known Cauchy-Davenport theorem asserts that if and are nonempt…