scholarly journals An Node Search of DFS with Spanning Tree in Undirected Graphs

In a graph, spanning tree is a subgraph it is also a tree which relates all the vertices together. So it 'Spans' the first graph yet utilizing less edges Graph Search is a calculated plot that visits vertices or edges in a graph, in a request dependent on the availability of the graph. In graph search, edges are visited all things considered once and not all edges are visited. The ones that are visited structure a spanning tree for the vertices that are associated with the beginning vertex by a path. A spanning tree for a lot of vertices VER is a lot of edges without cycles that associates VER. So in a spanning tree, there is actually one path between any two of the vertices. This is the fundamental explanation behind the utility of DFS. DFS utilize stacks and creates insignificant spanning tree fulfilling an assortment of conditions.

2016 ◽  
Vol 62 (4) ◽  
pp. 379-388 ◽  
Author(s):  
Iwona Dolińska ◽  
Mariusz Jakubowski ◽  
Antoni Masiukiewicz ◽  
Grzegorz Rządkowski ◽  
Kamil Piórczyński

Abstract Channel assignment in 2.4 GHz band of 802.11 standard is still important issue as a lot of 2.4 GHz devices are in use. This band offers only three non-overlapping channels, so in crowded environment users can suffer from high interference level. In this paper, a greedy algorithm inspired by the Prim’s algorithm for finding minimum spanning trees (MSTs) in undirected graphs is considered for channel assignment in this type of networks. The proposed solution tested for example network distributions achieves results close to the exhaustive approach and is, in many cases, several orders of magnitude faster.


1987 ◽  
Vol 16 (226) ◽  
Author(s):  
Karl Erik Johansen ◽  
Ulla Lundin Jørgensen ◽  
Sven Hauge Nielsen ◽  
Søren Erik Nielsen ◽  
Sven Skyum

We present a distributed algorithm for constructing a spanning tree for connected undirected graphs. Nodes correspond to processors and edges correspond to two-way channels. Each processor has initially a distinct identity and all processors perform the same algorithm. Computation as well as communication is asynchronous. The total number of messages sent during a construction of a spanning tree is at most 2E+3NlogN. The maximal message size is loglogN+log(maxid)+3, where maxid is the maximal processor identity.


2009 ◽  
Vol E92-B (3) ◽  
pp. 909-921
Author(s):  
Depeng JIN ◽  
Wentao CHEN ◽  
Li SU ◽  
Yong LI ◽  
Lieguang ZENG

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