getdoc2d57. 227KB Jun 04 2011 12:04:12 AM
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It says that if you start a simple random walk at any vertex of a finite (connected) graph G and draw every edge it traverses except when it would complete a cycle (i.e., except when
We give a necessary and sufficient condition for a graph to be bipartite in terms of an eigenvector corresponding to the largest eigenvalue of the adjacency matrix of the graph..
Although we do not know the minimum spectral norm for all cases where n = 2 m , we will prove in Theorem 3.5 that any tournament matrix of even order that attains the minimum
This corresponds to the reduction of the Möbius graph pictured in Figure 10, which switches the order and the orientations of the ribbons on one side of the black vertex from the ±1
, n is called a recursive tree if the vertex labelled 1 is the root and, for all 2 ≤ k ≤ n, the sequence of vertex labels in the path from the root to k is increasing (Stanley
activated random walk (ARW) model is an interacting particle system on G , in which the number of particles initially on each vertex is independently distributed according to law µ..
An exact general formula for the expected length of the minimal spanning tree (MST) of a connected (possibly with loops and multiple edges) graph whose edges are assigned
The process of good edges will still be 30-dependent and the probability of an edge being good will be uniformly large provided the slopes of the renormalized edges lie strictly