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Highly irregular graphs
Highly irregular graphs,10.1002/jgt.3190110214,Journal of Graph Theory,Yousef Alavi,Gary Chartrand,F. R. K. Chung,R. L. Graham,Ortrud R. Oellermann
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Highly irregular graphs
(
Citations: 9
)
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Yousef Alavi
,
Gary Chartrand
,
F. R. K. Chung
,
R. L. Graham
,
Ortrud R. Oellermann
Journal:
Journal of Graph Theory  JGT
, vol. 11, no. 2, pp. 235249, 1987
DOI:
10.1002/jgt.3190110214
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doi.wiley.com
)
Citation Context
(3)
...Petersen and Faudree [19][11] in 1890s, but the irregular properties of graphs were not being investigated till Alavi et al. [
2
]...
...Otherwise, a network is globally irregular or just irregular if all the vertices have distinct degrees [
2
][8][11]...
AyHwa Andy Liou
,
et al.
Improving Genetic Algorithms with Solution Space Partitioning and Evol...
...The last inequality in (
1
) follows from the fact that the function f( x)= x(n − x) is strictly increasing on the interval 0 ≤ x ≤ n . This argument will be used several...
...� , then equality holds throughout (
1
) which implies that all vertices in C have degree dG(w0) and dG(w0) = a + b = � n−d 2 , i.e...
Dieter Rautenbach
,
et al.
Extremal Problems for Imbalanced Edges
...Locally irregular graphs that are also connected have been defined and studied recently in [
1
], and have been referred to as highly irregular graphs .There are surprisingly many highly irregular graphs, as was pointed out in...
...As mentioned earlier, König proved that if H is a graph whose largest degree is then there is an rregular graph G containing H as an induced subgraph . In [
1
], it was shown that for every graph H there is a highly irregular graph G containing...
Gary Chartrand
,
et al.
How to Define an Irregular Graph
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Citations
(9)
On the irregularity of bipartite graphs
(
Citations: 2
)
Michael A. Henning
,
Dieter Rautenbach
Journal:
Discrete Mathematics  DM
, vol. 307, no. 1112, pp. 14671472, 2007
Improving Genetic Algorithms with Solution Space Partitioning and Evolution Refinements
AyHwa Andy Liou
,
TzongHeng Chi
,
IJim Yu
Published in 2007.
Extremal Problems for Imbalanced Edges
Dieter Rautenbach
,
Ingo Schiermeyer
Journal:
Graphs and Combinatorics
, vol. 22, no. 1, pp. 103111, 2006
A smallest irregular oriented graph containing a given diregular one
(
Citations: 1
)
Joanna Górska
,
Zdzislaw Skupien
,
Zofia Majcher
,
Jerzy Michael
Journal:
Discrete Mathematics  DM
, vol. 286, no. 12, pp. 7988, 2004
Degree sequences of highly irregular graphs
(
Citations: 2
)
Zofia Majcher
,
Jerzy Michael
Journal:
Discrete Mathematics  DM
, vol. 164, no. 13, pp. 225236, 1997