1-  , meysam_alishahi@shahroodut.ac.ir
                    
                    
                    Abstract:       (3433 Views)
                    
                    
                    In 2015, Alishahi and Hajiabolhassan introduced the altermatic number of graphs as a lower bound for the chromatic number of them. Their proof is based on the Tucker lemma, a combinatorial counterpart of the Borsuk-Ulam theorem, which is a well-known result in topological combinatorics. In this paper, we present a combinatorial proof for the Alishahi-Hajiabolhassan theorem. 
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                    Type of Study:  
Original Manuscript |
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alg  Received: 2017/06/24 | Revised: 2020/10/13 | Accepted: 2018/08/5 | Published: 2018/09/1 | ePublished: 2018/09/1