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Flows on signed graphs without long barbells
You Lu, Rong Luo, Michael Schubert +2
Many basic properties in Tutte's flow theory for unsigned graphs do not have their counterparts for signed graphs. However, signed graphs without long barbells in many ways behave…
Flows on flow-admissible signed graphs
Matt DeVos, Jiaao Li, You Lu +3
In 1983, Bouchet proposed a conjecture that every flow-admissible signed graph admits a nowhere-zero -flow. Bouchet himself proved that such signed graphs admit nowhere-zero $21…
On the second smallest and the largest normalized Laplacian eigenvalues of a graph
Xiaoguo Tian, Ligong Wang, Yong Lu
Let be a simple connected graph with order . Let be the normalized Laplacian matrix of . Let be the -th smallest normalized Laplacian eigen…
Trees with Maximum p-Reinforcement Number
You Lu, Jun-Ming Xu
Let be a graph and a positive integer. The -domination number $\g_p(G)$ is the minimum cardinality of a set with for all $x\i…