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Showing 2014 · math.COShow all
4 papers · 2 filters
math.CO2014★ 2 cited
Coloring, sparseness, and girth
Noga Alon, Alexandr Kostochka, Benjamin Reiniger +2
An -augmented tree is a rooted tree plus edges added from each leaf to ancestors. For , we construct a bipartite -augmented complete -ary tree havi…
math.CO2014
The spectra and the signless Laplacian spectra of graphs with pockets
Shu-Yu Cui, Gui-Xian Tian
Let be the graph with pockets, where is a simple graph of order , is a subset of the vertex set of and is a simple…
math.CO2014
Cross-intersecting families of vectors
János Pach, Gábor Tardos
Given a sequence of positive integers , let denote the family of all sequences of positive integers such that for all…
math.CO2014★ 2 cited
The Q-generating function for graphs with application
Shu-Yu Cui, Gui-Xian Tian
For a simple connected graph , the -generating function of the numbers of semi-edge walks of length in is defined by $W_Q(t)=\sum\nolimits_{k = 0}^\infty {N_k t…