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itemprop="name">Tınaz Ekim (Boğaziçi Üniversitesi)</span><span
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(Boğaziçi Üniversitesi)</span></div>
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<div
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aria-hidden="true"><time
itemprop="startDate"
datetime="20241218T120000Z"></time><time itemprop="endDate"
datetime="20241218T130000Z"></time></span><span>Çarşamba 18 Ara 2024 ⋅
15:00 – 16:00 (Türkiye
Saati) Room H306 Ortaköy<br>
</span></div>
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<td
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<div
style="font-family: Roboto, sans-serif;font-style: normal; font-weight: 400; font-size: 14px; line-height: 20px; letter-spacing: 0.2px;color: #3c4043; text-decoration: none;"
class="primary-text"
role="presentation"><span>Title:
Theory and Computation of
the Defective Ramsey
Numbers
<p>Abstract: We
investigate a variant of
Ramsey numbers called
defective Ramsey
numbers, introduced by
Ekim and Gimbel in 2013,
where cliques and
independent sets are
generalized to k-dense
and k-sparse sets, both
commonly called
k-defective sets.
Following some defective
parameters in general
graphs, we focus on the
computation of defective
Ramsey numbers in some
restricted graph
classes: cographs,
chordal graphs,
bipartite graphs,
perfect graphs, split
graphs, cacti, and
triangle-free graphs. We
adopt a two-fold
approach to tackle
defective Ramsey
numbers. We provide
direct proofs using
structural graph theory.
When this technique
falls short in obtaining
new values of defective
Ramsey numbers, we use
efficient graph
enumeration techniques
for structured graphs.</p>
<p>T. Ekim, J. Gimbel,
Some defective
parameters in graphs,
Graphs and
Combinatorics,Volume 29,
Number 2, (2013),
213-224.</p>
<p>Akdemir, T. Ekim,
Advances on Defective
Parameters in Graphs,
Discrete Optimization,
16 (2015), 62-69.</p>
<p>T. Ekim, J. Gimbel, O.
Seker, Small 1-Defective
Ramsey Numbers in
Perfect Graphs, Discrete
Optimization, 34 (2019)
100548.</p>
<p>Y.E. Demirci, T. Ekim,
J. Gimbel, M.A. Yildiz,
Exact Values of
Defective Ramsey Numbers
in Graph Classes,
Discrete Optimization,
42 (2021) 100673.</p>
<p>Y.E. Demirci, T. Ekim,
M.A. Yildiz, Defective
Ramsey Numbers and
Defective Cocolorings in
Some Subclasses of
Perfect Graphs, Graphs
and Combinatorics,
(2023) 39:18</p>
<p>T. Ekim, B. Erdem, J.
Gimbel, Sparse Sets in
Triangle-free Graphs,
submitted.</p>
<p>---</p>
<p>* To access to the
complete seminar
calendar please visit
this link</p>
<p><a
href="https://www.google.com/url?q=https%3A%2F%2Fmatematik.gsu.edu.tr%2Ftr%2Farastirma%2Fseminerler&sa=D&ust=1734528660000000&usg=AOvVaw3EDTPt9L6W0AHIJd1cJn_9"
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<p>---<br>
Galatasaray Üniversitesi
Matematik Bölümü</p>
</span>
<meta itemprop="description"
content="Title: Theory and Computation of the Defective Ramsey Numbers
Abstract: We investigate a variant of Ramsey numbers called defective Ramsey numbers, introduced by Ekim and Gimbel in 2013, where cliques and independent sets are generalized to k-dense and k-sparse sets, both commonly called k-defective sets. Following some defective parameters in general graphs, we focus on the computation of defective Ramsey numbers in some restricted graph classes: cographs, chordal graphs, bipartite graphs, perfect graphs, split graphs, cacti, and triangle-free graphs. We adopt a two-fold approach to tackle defective Ramsey numbers. We provide direct proofs using structural graph theory. When this technique falls short in obtaining new values of defective Ramsey numbers, we use efficient graph enumeration techniques for structured graphs.
T. Ekim, J. Gimbel, Some defective parameters in graphs, Graphs and Combinatorics,Volume 29, Number 2, (2013), 213-224.
Akdemir, T. Ekim, Advances on Defective Parameters in Graphs, Discrete Optimization, 16 (2015), 62-69.
T. Ekim, J. Gimbel, O. Seker, Small 1-Defective Ramsey Numbers in Perfect Graphs, Discrete Optimization, 34 (2019) 100548.
Y.E. Demirci, T. Ekim, J. Gimbel, M.A. Yildiz, Exact Values of Defective Ramsey Numbers in Graph Classes, Discrete Optimization, 42 (2021) 100673.
Y.E. Demirci, T. Ekim, M.A. Yildiz, Defective Ramsey Numbers and Defective Cocolorings in Some Subclasses of Perfect Graphs, Graphs and Combinatorics, (2023) 39:18
T. Ekim, B. Erdem, J. Gimbel, Sparse Sets in Triangle-free Graphs, submitted.
---
* To access to the complete seminar calendar please visit this link
https://matematik.gsu.edu.tr/tr/arastirma/seminerler
* To add to your calendar use ical url.
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* Participants from outside Galatasaray Üniversitesi are kindly
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---
Galatasaray Üniversitesi Matematik Bölümü">
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