scholarly journals Cohen–Macaulay Graphs and Face Vectors of Flag Complexes

2012 ◽  
Vol 26 (1) ◽  
pp. 89-101 ◽  
Author(s):  
David Cook ◽  
Uwe Nagel
Keyword(s):  
Face Vectors ◽  
Flag Complexes

scholarly journals Face vectors of flag complexes

2008 ◽  
Vol 164 (1) ◽  
pp. 153-164 ◽  
Author(s):  
Andrew Frohmader
Keyword(s):  
Face Vectors ◽  
Flag Complexes

scholarly journals On the $h$-vectors of Cohen-Macaulay Flag Complexes

2013 ◽  
Vol 112 (1) ◽  
pp. 86 ◽  
Author(s):  
Alexandru Constantinescu ◽  
Matteo Varbaro
Keyword(s):  
Simplicial Complexes ◽  
Face Vectors ◽  
Flag Complexes

Starting from an unpublished conjecture of Kalai and from a conjecture of Eisenbud, Green and Harris, we study several problems relating $h$-vectors of Cohen-Macaulay, flag simplicial complexes and face vectors of simplicial complexes.

scholarly journals Face Vectors of Two-Dimensional Buchsbaum Complexes

10.37236/157 ◽  
2009 ◽  
Vol 16 (1) ◽  
Author(s):  
Satoshi Murai
Keyword(s):  
Simplicial Complexes ◽  
Two Dimensional ◽  
Face Vectors

In this paper, we characterize all possible $h$-vectors of $2$-dimensional Buchsbaum simplicial complexes.

scholarly journals Simplicial Complexes are Game Complexes

10.37236/6958 ◽  
2019 ◽  
Vol 26 (3) ◽  
Author(s):  
Sara Faridi ◽  
Svenja Huntemann ◽  
Richard J. Nowakowski
Keyword(s):  
Simplicial Complex ◽  
Simplicial Complexes ◽  
Combinatorial Games ◽  
Natural Question ◽  
Flag Complex ◽  
Game Trees ◽  
Game Value ◽  
Flag Complexes

Strong placement games (SP-games) are a class of combinatorial games whose structure allows one to describe the game via simplicial complexes. A natural question is whether well-known parameters of combinatorial games, such as "game value", appear as invariants of the simplicial complexes. This paper is the first step in that direction. We show that every simplicial complex encodes a certain type of SP-game (called an "invariant SP-game") whose ruleset is independent of the board it is played on. We also show that in the class of SP-games isomorphic simplicial complexes correspond to isomorphic game trees, and hence equal game values. We also study a subclass of SP-games corresponding to flag complexes, showing that there is always a game whose corresponding complex is a flag complex no matter which board it is played on.

scholarly journals On Lusztig-Dupont homology of flag complexes

2019 ◽  
Vol 531 ◽  
pp. 83-101
Author(s):  
Roy Meshulam ◽  
Shira Zerbib
Keyword(s):  
Flag Complexes

scholarly journals From Flag Complexes to Banner Complexes

2013 ◽  
Vol 27 (2) ◽  
pp. 1146-1158 ◽  
Author(s):  
Steven Klee ◽  
Isabella Novik
Keyword(s):  
Flag Complexes
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