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BP932 Every vertex is connected to every other vs. vertices are connected in a cycle (no other connections).
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(edit; present; nest [left/right]; search; history)
COMMENTS

Complete graphs with zero, one, two, or three vertices would be ambiguously categorized (fit in overlap of both sides).


Left examples are called "fully connected graphs." Right examples are called "cycle graphs."

CROSSREFS

Adjacent-numbered pages:
BP927 BP928 BP929 BP930 BP931  *  BP933 BP934 BP935 BP936 BP937

KEYWORD

precise, left-narrow, right-narrow, both, preciseworld

CONCEPT graph (info | search),
distinguishing_crossing_curves (info | search),
all (info | search),
loop (info | search)

WORLD

connected_graph [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1099 Considering only the ways they are connected, anything that can be said about a given node can be said about every other node vs. not so.
(edit; present; nest [left/right]; search; history)
REFERENCE

https://en.wikipedia.org/wiki/Vertex-transitive_graph

CROSSREFS

Adjacent-numbered pages:
BP1094 BP1095 BP1096 BP1097 BP1098  *  BP1100 BP1101 BP1102 BP1103 BP1104

KEYWORD

precise, allsorted, notso, math, preciseworld

CONCEPT graph (info | search),
distinguishing_crossing_curves (info | search)

WORLD

graph [smaller | same | bigger]
zoom in left

AUTHOR

Leo Crabbe

BP1101 Each node is connected to the same number of nodes by straight lines vs. not so.
(edit; present; nest [left/right]; search; history)
REFERENCE

https://en.wikipedia.org/wiki/Regular_graph

CROSSREFS

Any left example of BP1099 will be a left example for this BP.

Adjacent-numbered pages:
BP1096 BP1097 BP1098 BP1099 BP1100  *  BP1102 BP1103 BP1104 BP1105 BP1106

KEYWORD

precise, allsorted, preciseworld

CONCEPT graph (info | search),
distinguishing_crossing_curves (info | search)

WORLD

graph [smaller | same | bigger]
zoom in left

AUTHOR

Leo Crabbe

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