2005/06/03 by Rade T. Živaljević, Rade T. Zivaljevic, Zivaljevic, Rade T.
Computer Science · Mathematics · #05C15 #18B40 #57M15 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #Computational Drug Discovery Methods #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT #math.CO #msc:05C15 #msc:18B40 #msc:57M15
paper · pdf · doi:10.48550/arxiv.math/0506075
17 pages, 1 figure
arxiv created 2005/06/03 · openalex publication_date 2005/06/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The groupoid of projectivities, introduced by M. Joswig, serves as a basis for a construction of parallel transport of graph and more general Hom-complexes. In this framework we develop a general conceptual approach to the Lovasz Hom-conjecture, recently resolved by E. Babson and D. Kozlov, and extend their result from graphs to simplicial complexes. The paper also provides new evidence that the language and methods of groupoids, after being successfully tested in other major mathematical fields, offer new insights and perspectives for combinatorial applications.