Is there a function f : N → N such that, for all k ∈ N, every graph of minimum degree at least f (k) is k-connected?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Is there a function f : N → N such that, for all k ∈ N, every graph of minimum degree at least f (k) is k-connected?

 

 

adgis s
o (6): = min { d(v) Ive V3 is the minimum
degree of G. 0612 Z9Nto
JJ
V PO
Go is
called K-connected if IGI>K and
GIX is connected for every set x CV
with 1X1 <K
(9)
AH
gd ==
IGI := the number of vertices of G; the order.cm
AN SUM AH
se
is there a function F: N → N such that,
for all KEN, every graph of minimum
degree at least f(K) is k-connected?
M
Transcribed Image Text:adgis s o (6): = min { d(v) Ive V3 is the minimum degree of G. 0612 Z9Nto JJ V PO Go is called K-connected if IGI>K and GIX is connected for every set x CV with 1X1 <K (9) AH gd == IGI := the number of vertices of G; the order.cm AN SUM AH se is there a function F: N → N such that, for all KEN, every graph of minimum degree at least f(K) is k-connected? M
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