Scientific Research

★ 05C05 — Trees

★ 05C07 — Vertex degrees  

★ 05C10 — Planar graphs; geometric and topological aspects of graph theory

    ☆ planar graphs

    ☆ 1-planar graphs

    ☆ plane graphs with independent crossings (IC-planar graphs)

    ☆ plane graphs with near-independent crossings (NIC-planar graphs)

    ☆ outer-1-planar graphs (psuedo-outerplanar graphs)

★ 05C15 — Coloring of graphs and hypergraphs

    ☆ edge coloring

    ☆ total coloring

    ☆ list (edge/total) coloring

    ☆ acyclic (edge) coloring

    ☆ equitable coloring

    ☆ group coloring

    ☆ (p,1)-total labelling

    ☆ tree coloring

★ 05C35 — Extremal problems 

★ 05C70 — Factorization, matching, partitioning, covering and packing

    ☆ cycles-packing problems

★ 05C75 — Structural characterization of families of graphs

    ☆ light subgraphs in a given class of graphs

★ 05D40 — Probabilistic methods