Graph Theory and Applications

Tripartite graphs to analyze the interconnection of networks.- Minimal regular major maps with proper 4-rings.- Total graphs.- A census of ball and disk dissections.- Network models for maximization of heat transfer under weight constraints.- The "Graph Theory" of the Greek Alphabet.- The number of partial order graphs.- Estimating the connectivity of a graph.- On problems of Moser and Hanson.- The role of graph theory in some sieve arguments of probability theory.- The pfaffian and 1-factors of graphs II.- On embedding graphs in squashed cubes.- Crossing numbers of graphs.- Recent results on generalized Ramsey theory for graphs.- Line graphs of triangleless graphs and iterated clique graphs.- Line digraphs.- On limit points of spectral radii of non-negative symmetric integral matrices.- Which generalized prisms admit H-circuits?.- The chromatic number of triangle-free graphs.- Planarity of Cayley diagrams.- Hamiltonian and Eulerian properties of entire graphs.- Two problems on random trees.- On the girth and genus of a graph.- Variations of the cell growth problem.- On the toughness of a graph.- On the cyclic connectivity of planar graphs.- Some recent results in chemical enumeration.- Upper and lower imbeddable graphs.- Triangular embeddings of graphs.- Progress on the problem of eccentric hosts.- Magic sets.- The strong perfect graph conjecture and an application to a municipal routing problem.- On graphical regular representations of Cn × Q.- Planar graphs and matroids.