Duke's theorem does not extend to signed graph embeddings

✍ Scribed by Jozef Širáň

• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 556 KB
• Volume: 94
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(91)90029-2

✦ Synopsis

Siraii, J., Duke's theorem does not extend to signed graph embeddings, Discrete Mathematics, 94 (1991) 233-238. Using homology-type arguments and surface surgery it is proved that a direct extension of the classical Duke's contiguity theorem to cellular orientation embeddings of signed graphs is impossible.