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math.CO2016
Excluding a large theta graph
Guoli Ding, Emily Marshall
A theta graph, denoted , is a graph of order consisting of a pair of vertices and three independent paths between them of lengths , , and . We provide…
math.CO2016
On Box-Perfect Graphs
Guoli Ding, Wenan Zang, Qiulan Zhao
Let be a graph and let be the clique-vertex incidence matrix of . It is well known that is perfect iff the system , $\mathbf x\…
math.CO2016
On almost-planar graphs
Guoli Ding, Joshua Fallon, Emily Marshall
A nonplanar graph G is called almost-planar if for every edge e of G, at least one of G\e and G/e is planar. In 1990, Gubser characterized 3-connected almost-planar graphs in his d…