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Graphs with prescribed local connectivities

✍ Scribed by Donald W. Vanderjagt


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
537 KB
Volume
10
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Graphs with prescribed connectivity and
✍ Douglas Bauer; Ralph Tindell πŸ“‚ Article πŸ“… 1979 πŸ› John Wiley and Sons 🌐 English βš– 118 KB

## Abstract Chartrand and Stewart have shown that the line graph of an __n__‐connected graph is itself __n__‐connected. This paper shows that for every pair of integers __m__ > __n__ > 1 there is a graph of point connectivity __n__ whose line graph has point connectivity __m__. The corresponding qu

Connected graphs with prescribed median
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The eccentricity e(v) of a vertex v in a connected graph G is the distance between v and a vertex furthest from v in G. The center C(G) of G is the subgraph induced by those vertices of G having minimum eccentricity; the periphery P(G) is the subgraph induced by those vertices of G having maximum ec

Constructing a bipartite graph of maximu
✍ Asano, Takao πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 328 KB πŸ‘ 3 views

d 2,n 2 ) is a bipartite graphical sequence, if there is a bipartite graph G with degrees {D 1 , D 2 } (i.e., G has two independent vertex sets In other words, {D 1 , D 2 } is a bipartite graphical sequence if and only if there is an n 1 1 n 2 matrix of 0's and 1's having d 1j 1 1's in row j 1 and

On local connectivity of graphs
✍ Lutz Volkmann πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 151 KB

The local connectivity ΞΊ(u, v) of two vertices u and v in a graph G is the maximum number of internally disjoint u-v paths in G, and the connectivity of G is defined as } for all pairs u and v of vertices in G. Let Ξ΄(G) be the minimum degree of G. We call a graph G maximally connected when ΞΊ(G) = Ξ΄