Edge erasures and chordal graphs

We prove several results about chordal graphs and weighted chordal graphs by focusing on exposed edges. These are edges that are properly contained in a single maximal complete subgraph.  This leads to a characterization of chordal graphs via deletions of a sequence of exposed edges from a complete...

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Prif Awduron: Culbertson, Jared; Sensors Directorate, Air Force Research Laboratory, 2241 Avionics Circle, Bldg. 620, Wright- (Awdur), Guralnik, Dan P.; Mechanical & Aerospace Engineering, University of Florida, MAE-B, room 327A, 633 Gale Lemerand Dr, Gainesville, FL 32603, USA (Awdur), Stiller, Peter F.; Department of Mathematics, MS3368, Texas A&M University, College Station, Texas 7843-3368, USA. (Awdur)
Awduron Eraill: Air Force Office of Scientific Research under grants LRIR 15RYCOR153, MURI 10-1-0567 and FA9550-11-10223. (Cyfrannwr)
Fformat: EJournal Article
Cyhoeddwyd: GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, 2021-10-16.
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