Antisymmetry means the when there is a loop between two node a and b, a must equal b, otherwise it violate the antisymmetry definition.
trail is a sequence of linked edges does not repeat, or [e1,e2…en] in E, where ei !=ej. and e1.node2=e2.node1.
path is a sequence of linked edge does not touch it self.
cycle is a path with two end vertices coincide.
from an adjacency matrix (g) point of view
complete graph is ~diag(ones(1,n)) or 1-diag(ones(1,n))
complement graph is cg=~g
optimization for fitness function
fitness function may not necessarily be the target optimization problem, often it’s the output of a system where the fitness being evaluated.
the system can be viewed as a black box where the detail of the working mechanism is unknow.
for example given a set of training examples, and a neural net work, we can view it as a system.
the input of the system is the weights for each neuron, and the output of the neurons are the result of the system.
the fitness function can be a error between the training example and the neuron output when a particular weight inputs is applied.
but for the case of neuron network, we can extracted information of the system by varying our input (weights) to the system.
transmitter
pull up/ down transistor with delay gate input to generate pulse
receiver
threshold analogue to binary converter + deply lines + delay line vector sampler.
