Bridged Graph
المؤلف:
Sloane, N. J. A
المصدر:
Sequences A052446 and A263915 in "The On-Line Encyclopedia of Integer Sequences."
الجزء والصفحة:
...
21-4-2022
2238
Bridged Graph
A bridged graph is a graph that contains one or more graph bridges. Examples of bridged graphs include path graphs, ladder rung graphs, the bull graph, star graphs, and trees.
A graph that is not bridged is said to be bridgeless. A connected bridgeless graph can be tested for in the Wolfram Language using Not[KEdgeConnectedGraphQ[g, 2]] or EdgeConnectivity[g] 
.
The numbers of simple bridged graphs on 
, 2, ... vertices are 0, 1, 2, 6, 18, 79, 462, 4344, ... (OEIS A263915).
The numbers of simple connected bridged graphs on 
, 2, ... vertices are 0, 1, 1, 3, 10, 52, 351, 3714, 63638, 1912203, ... (OEIS A052446).
REFERENCES
Sloane, N. J. A. Sequences A052446 and A263915 in "The On-Line Encyclopedia of Integer Sequences."
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