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个人简介
Research interests:
Classical Graph Theory: Vertex colorings, edge colorings, total colorings, facial and diagonal colorings, improper colorings, coloring planar graphs and graphs embedded on surfaces of higher genus, channel assignments and labelings. List colorings. Graph homomorphisms. Nowhere-zero flows, coverings and decompositions. Application of discharging method, configurations in (3-connected) planar graphs. Product graphs, median and quasi-median graphs, partial cubes.
Mathematical Chemistry: Various topological indices: Wiener index, Randic index, Zagreb indices, Balaban index, etc. Structure and geometry of nanotubes and fullerene graphs. Graph invariants as potential molecular stability indicators.
Information Dissemination: Graycodes avoiding faulty nodes and links. Simultaneous broadcasting schemes in interconnection networks.
Complex Networks and Mathematical Sociology: Various new and old centrality measures and their centralizations, importance of groups. Deterministic and stochastic modelling of social networks, small worlds, scale-free networks.
Classical Graph Theory: Vertex colorings, edge colorings, total colorings, facial and diagonal colorings, improper colorings, coloring planar graphs and graphs embedded on surfaces of higher genus, channel assignments and labelings. List colorings. Graph homomorphisms. Nowhere-zero flows, coverings and decompositions. Application of discharging method, configurations in (3-connected) planar graphs. Product graphs, median and quasi-median graphs, partial cubes.
Mathematical Chemistry: Various topological indices: Wiener index, Randic index, Zagreb indices, Balaban index, etc. Structure and geometry of nanotubes and fullerene graphs. Graph invariants as potential molecular stability indicators.
Information Dissemination: Graycodes avoiding faulty nodes and links. Simultaneous broadcasting schemes in interconnection networks.
Complex Networks and Mathematical Sociology: Various new and old centrality measures and their centralizations, importance of groups. Deterministic and stochastic modelling of social networks, small worlds, scale-free networks.
研究兴趣
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APPLIED MATHEMATICS AND COMPUTATION (2024): 128493
DISCRETE APPLIED MATHEMATICS (2024): 115-133
DISCRETE MATHEMATICSno. 3 (2024): 113803
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRYno. 1 (2024): 267-282
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