Helin Gong

activity

20152023

most citedPBDW method for state estimation: error analysis for noisy data and nonlinear formulation

18 citations · 20 across the 6 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.CO2018

Proving a conjecture on chromatic polynomials by counting the number of acyclic orientations

Fengming Dong, Jun Ge, Helin Gong +3

The chromatic polynomial $P (G, x)$ of a graph $G$ of order $n$ can be expressed as $i = 1 \sum n (- 1)^{n - i} a_{i} x^{i}$ , where $a_{i}$ is interpreted as the number of broken-cycle…

math.CO2017

Several extreme coefficients of the Tutte polynomial of graphs

Helin Gong, Mengchen Li, Xian'an Jin

Let $t_{i, j}$ be the coefficient of $x^{i} y^{j}$ in the Tutte polynomial $T (G; x, y)$ of a connected bridgeless and loopless graph $G$ with order $n$ and size $m$ . It is trivial that $t_…

math.CO2015

A formula for the number of the spanning trees of line graphs

Helin Gong, Xian'an Jin

Let $G = (V, E)$ be a loopless graph and $T (G)$ be the set of all spanning trees of $G$ . Let $L (G)$ be the line graph of the graph $G$ and $t (L (G))$ be the number of spannin…