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K-edge-connected graph
Known as:
Edge connectivity
, Edge-connectivity
Â
In graph theory, a connected graph is k-edge-connected if it remains connected whenever fewer than k edges are removed. The edge-connectivity of a…Â
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Wikipedia
Topic mentions per year
Topic mentions per year
1973-2017
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10
20
1973
2017
Related topics
Related topics
34 relations
Bridge
Butterfly graph
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Related mentions per year
Related mentions per year
1939-2018
1940
1960
1980
2000
2020
K-edge-connected graph
Connectivity
Planar graph
Dual graph
Randomized algorithm
Vertex
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2008
2008
k-Restricted edge connectivity for some interconnection networks
Shiying Wang
,
Jun Yuan
,
Aixia Liu
Applied Mathematics and Computation
2008
k-Restricted edge connectivity is an important parameter in measuring the reliability and fault tolerance of large…Â
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2003
2003
Edge-connectivity and super edge-connectivity of P2-path graphs
Camino Balbuena
,
Daniela Ferrero
Discrete Mathematics
2003
For a graph G, the P2-path graph, P2(G), has for vertices the set of all paths of length 2 in G. Two vertices are connected when…Â
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2002
2002
On restricted edge-connectivity of graphs
Jun-Ming Xu
,
Ke-Li Xu
Discrete Mathematics
2002
This paper considers the concept of restricted edge-connectivity, and relates that to the edgedegree of a connected graph. The…Â
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1998
1998
Maintaining the Classes of 4-Edge-Connectivity in a Graph On-Line
Yefim Dinitz
,
Jeffery Westbrook
Algorithmica
1998
Two vertices of an undirected graph are called k -edge-connected if there exist k edge-disjoint paths between them (equivalently…Â
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1998
1998
Edge-Connectivity Augmentation with Partition Constraints
Jørgen Bang-Jensen
,
Harold N. Gabow
,
Tibor Jordán
,
Zoltán Szigeti
SODA
1998
In the well-solved edge-connectivity augmentation problem we must find a minimum cardinality set F of edges to add to a given…Â
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Highly Cited
1989
Highly Cited
1989
The minimum augmentation of any graph to a K-edge-connected graph
Guo-Ray Cai
,
Yu-Geng Sun
Networks
1989
For a graph Go = (V,Ef l ) and an integer K, how many edges are needed for augmenting Go to a K-edge-connected graph? Results in…Â
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1989
1989
Finding the Edge Connectivity of Directed Graphs
Yishay Mansour
,
Baruch Schieber
J. Algorithms
1989
We present two algorithms for finding the edge connectivity of a given directed graph G. The first algorithm runs in O( nm) time…Â
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1988
1988
Minimum augmentation of a tree to a K-edge-connected graph
Shuichi Ueno
,
Yoji Kajitani
,
Hajime Wada
Networks
1988
This paper solves the minimum augmentation problem for a given tree and positive integer k, that is, to make a tree k-edge…Â
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Highly Cited
1987
Highly Cited
1987
Edge-Connectivity Augmentation Problems
Toshimasa Watanabe
,
Akira Nakamura
J. Comput. Syst. Sci.
1987
The problem in which the object is to add a minimum weight set of edges to a graph so as to satisfy a given condition is called…Â
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1974
1974
Results on the edge-connectivity of graphs
Linda Lesniak
Discrete Mathematics
1974
It is shown that if G is a graph of order p 2 2 such that deg u + deg u 2 p 1 for all pairs u, u of nonadjacent vertices, then…Â
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