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math.CO2026
Odd minors or odd immersions in graphs with independence number two
Antonia Bermúdez, Bruno L. Netto, Daniel A. Quiroz
Kühn, Sauermann, Steiner and Wigderson recently disproved the Odd Hadwiger Conjecture, even for graphs with independence number 2. For this class of graphs the conjecture is known…
math.CO2026
Odd Hadwiger number and graph products
Henry Echeverría, Andrea Jiménez, Suchismita Mishra +2
The Odd Hadwiger number of a graph is the largest integer such that has a clique of size as an odd minor. In this paper, we investigate how large is the Odd Hadwige…
math.CO2026
Homomorphism counting for immersion-closed classes is not isomorphism
Andrea Jiménez, Benjamin Moore, Daniel A. Quiroz +1
Lovász proved that two graphs and are isomorphic if for all graphs , where denotes the number of homomorphisms from to $G_2…