Lazăr, Ioana-Claudia The collapsibility of hexagon 2-complexes with the 12-property. (English) Zbl 1224.05492 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 19, No. 1, 191-200 (2011). Summary: We give some necessary and sufficient conditions for the collapsibility of a finite, 2-dimensional hexagon complex. We show that any finite simply connected hexagon 2-complex with the 12-property is collapsible whereas any locally finite such complex has a simple combinatorial structure. MSC: 05C99 Graph theory 05C75 Structural characterization of families of graphs Keywords:hexagon 2-complex; star of a cell; link of a cell; systole of a complex; 12-property; collapsibility; van Kampen diagram PDFBibTeX XMLCite \textit{I.-C. Lazăr}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 19, No. 1, 191--200 (2011; Zbl 1224.05492) Full Text: EuDML