… for the 6-dimensional homology of the complex Ind(KG(3, k)). … the rank of pdimensional
homology of the complex Ind(KG(n, … the independence of Kneser graph using its total dominating …

… of markings to model independent sets in a graph G. We then introduce two differentials d
and δ to set up a double complex (T(… Projective dimension, graph domination parameters, and …

… In this extended abstract, we study relations between domination numbers for hypergraphs …
useful when we compute the homology of the independence complexes of hypergraphs. In …

… We have obtained exact values for the projective dimension of edge ideals associated to …
Projective dimension, graph domination parameters, and independence com- plex homology. …

… spheres are a difficult problem. However, the story is of independent interest in graph theory.
… that in all cases we have homology spheres or homology wedge sums of two spheres. We …

… X we let H ̃ i ( X ) denote its i th integral reduced homology group. For a face σ ∈ X , the
link lk X ( σ ) is the subcomplex defined by lk X ( σ ) = { τ ∈ X : τ ∩ σ = 0̸ , τ ∪ σ ∈ X } . …

… dominance and rectangular visibility for two-dimensional … a counterexample in Table 1,
and plot them in Figure 4 by … metric four affinely independent three-dimensional points have …

… dominance and rectangular visibility for two-dimensional … in Table 1, and 217 plot them in
Figure 4 by projecting along two … four 229 affinely independent three-dimensional points have …

… a simple graph and prove a detection result. Finally, we define some singly graded homologies
for graphs … obtained by specialising the überhomology might be of independent interest. …

… Indeed, there are edge ideals whose projective dimension (and thus depth) and regularity …
For any independent set S ⊂ V (G) = {x1,...,xn}, we construct a graph GS with vertex and edge …