Human walking gait is disrupted by the spinal cord injury (SCI) or amputation.1 Gait rehabilitation involves improvement of the motor control functions by the activation of neuro-plasticity. It can be achieved by deciphering and translation of brain signals that correspond to the execution, or action imagery, of the affected limb, into output commands. BCI could be used to build new communicati...

In this paper, we provide spectral conditions for the existence of two edge-disjoint cycles and same length in a graph, which can be viewed as analogues Erd?s Posa's condition Erd?s' classic problem about maximum number edges graph without length, respectively. Furthermore, give to guarantee $k$ triangles graph.