20 citations · 41 across the 40 of their papers we have counts for
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math.CO2013★ 1 cited
Maxima of the Q-index: graphs without long paths
Vladimir Nikiforov, Xiying Yuan
This paper gives tight upper bound on the largest eigenvalue q(G) of the signless Laplacian of graphs with no paths of given order. The main ingredient of our proof is a stability…
math.FA2013★ 1 cited
Maximum norms of graphs and matrices, and their complements
Vladimir Nikiforov, Xiying Yuan
In this paper, we mainly study the trace norm of the adjacency matrix of a graph, also known as the energy of graph. We give the maximum trace norms for the graph and its complemen…