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Bölümü Genel Seminerleri</span> kapsamında, <b>bu hafta </b>aşağıdaki bilgileri verilen seminer gerçekleştirilecektir. Seminerimize Antalya'da olan herkesi bekleriz</span></font><font size="2" color="#222222"><span style="font-size: 16px;">. <b>Seminerin posteri
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Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümü</span></font></div>
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<div><font color="black">•<b>Problems surrounding the Hadwiger number of graphs topologically</b></font></div>
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<font color="black"><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2" color="#222222"><span style="font-size: 16px;"><b> </b></span></font></font></div>
<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2" color="#222222"><span style="font-size: 16px;"><b><br>
•Tarih: 16 Nisan 2026, Perşembe</b></span></font><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2" color="#222222"><span style="font-size: 16px;"><b><br>
•Saat: 15:30</b></span></font><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2" color="#222222"><span style="font-size: 16px;"><b><br>
•Yer: Matematik Bölümü Seminer Salonu</b></span></font></span></font></div>
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<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;"><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2" color="#222222"><span style="font-size: 16px;"><b>Özet: </b>
<div>For a (finite and simple) graph $G$, its Hadwiger number $had(G)$ is defined to be the largest integer $h$ such that $G$ contains the complete graph $K_h$ as a minor. The most long standing and intriguing conjecture of Hugo Hadwiger ($1943$) claims that
the inequality $\chi(G)\leq had(G)$ holds for every graph $G$, where $\chi(G)$ denotes the chromatic number. As opposed to the Hadwiger number, the chromatic number of graphs is topologically lower bounded. That brings the question of whether these topological
bounds are also valid lower bounds to the Hadwiger number. I hope to address these questions in detail as well as a recent conjectural detection of the Hadwiger number due to Holmsen, Kim and Lee $(2019)$ in terms of the homological dimension of hypergraphs
of connected covers. Independent of the later conjecture, I will prove that the Helly number of (simple) hypergraphs can be topologically lower bounded.</div>
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<p><font size="2" color="#222222" style="color: rgb(34, 34, 34); font-family: Calibri, Helvetica, sans-serif, serif, EmojiFont;"><span style="font-size: 16px;">Teşekkürler</span></font></p>
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<div style="margin-top: 0px; margin-bottom: 0px;"><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;"><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;">Doç. Dr. Ayhan
DİL</span></font></span></font></div>
<div style="margin-top: 0px; margin-bottom: 0px;"><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;"><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;">Matematik Bölümü
Seminer Koordinatörü</span></font></span></font></div>
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<div style="font-family:Calibri, sans-serif; font-size:8pt; color:gray;"><strong>YASAL UYARI:</strong> Bu e-posta ve ekleri gizlidir. Detaylı bilgi için https://bidb.akdeniz.edu.tr/tr/sorumluluk_reddi-16315 sayfasını ziyaret edebilirsiniz.</div>
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