For a graph G, a "spanning tree" in G is a tree that has the same vertex set as G. The number of spanning trees in a graph (network) G, denoted by t(G), is an important invariant of the graph (network) with lots of decisive applications in many disciplines. In the article by...
The number of spanning trees of a graph with given matching number. Feng, Lihua,Xu, Kexiang,Das, Kinkar Ch,... - Computing Methods in Applied Sciences & Engineering - 1973 - 被引量: 0 On the number of a ...
A spanning tree of a properly edge-colored complete graph, K, is rainbow provided that each of its edges receives a distinct color. In 1996, Brualdi and Ho... JC Seminar,SH University 被引量: 0发表: 2015年 On graphs with the maximum number of spanning trees Let Gmn denote the set of...
Abstract The spanning-tree packing number of a graph G is the maximum number of edge-disjoint spanning trees contained in G. In this paper, we obtain a sharp lower bound for the spanning-tree packing number of lexicographic product graphs....
The calculation of the number of spanning trees is a demanding and difficult task, in particular for large graphs, and thus there is much interest in obtaining closed expressions for relevant infinite graph families. We have also calculated the spanning tree entropy of the graphs which we have ...
If a switching device receives a BPDU in which the number of remaining hops is 0, the switching device will discard the BPDU. Therefore, the maximum number of hops of a spanning tree in an MST region determines the network scale. The stp max-hops command can be used to set the maximum...
If a switching device receives a BPDU in which the number of remaining hops is 0, the switching device will discard the BPDU. Therefore, the maximum number of hops of a spanning tree in an MST region determines the network scale. The stp max-hops command can be used to set the maximum...
In this paper, we consider the problem of finding the graph topology of p vertices and q edges such that the resulting graph contains the maximum number of spanning trees. For any values of p and q, this problem still remains open. Only when q§ p(p l)/2 [p/2] it has been solved...
= 3 tau(F-n) - 2 tau(Fn-1) - 2 for determining number of spanning trees of wheel graph W-n and a recurrence relation tau(W-n) = 3 tau(Wn-1) - tau(Wn-2) + 2 are derived by expressing tau(W-n) into disjoint sets and expressing cardinality of each set in terms of tau(F...
If a switching device receives a BPDU in which the number of remaining hops is 0, the switching device will discard the BPDU. Therefore, the maximum number of hops of a spanning tree in an MST region determines the network scale. The stp max-hops command can be used ...