Geodesic
Bi-Cohen-Macaulay graphs
Jürgen Herzog1 ; Ahad Rahimi2
1Universit\"at Duisburg-Essen
2Razi university
The electronic journal of combinatorics, Tome 23 (2016) no. 1
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In this paper we consider bi-Cohen-Macaulay graphs, and give a complete classification of such graphs in the case they are bipartite or chordal. General bi-Cohen-Macaulay graphs are classified up to separation. The inseparable bi-Cohen-Macaulay graphs are determined. We establish a bijection between the set of all trees and the set of inseparable bi-Cohen-Macaulay graphs.
DOI : 10.37236/5557
Classification : 05E40, 13C14
Mots-clés : bi-Cohen-Macaulay, bipartite and chordal graphs, generic graphs, inseparability

Jürgen Herzog  1   ; Ahad Rahimi  2

1 Universit\"at Duisburg-Essen
2 Razi university 
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     title = {Bi-Cohen-Macaulay graphs},
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Jürgen Herzog; Ahad Rahimi. Bi-Cohen-Macaulay graphs. The electronic journal of combinatorics, Tome 23 (2016) no. 1. doi: 10.37236/5557

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