@article{article_266265, title={INTERSECTION GRAPH OF A SIMPLICIAL COMPLEX}, journal={International Electronic Journal of Algebra}, volume={13}, pages={76–90}, year={2013}, author={Afkhami, M. and Khosh-ahang, F.}, keywords={diameter, girth, intersection graph, intersection ideal, covering number, minimal generating set, simplicial complex}, abstract={In this note, firstly we introduce the intersection graph G(∆) of a simplicial complex ∆, as a graph whose vertices are all facets of ∆ and two distinct vertices are adjacent if they have non-empty intersection. We investigate some properties of this graph and simplicial complexes. Moreover, we apply this graph for finding a couple of upper and lower bounds for the vertex covering number of ∆. Also, we introduce and study the intersection ideal of a simplicial complex.}, number={13}, publisher={Abdullah HARMANCI}