Words and Graphs

Dr. Sergey Kitaev is a Reader in Combinatorics in the Department of Computer and Information Sciences of the University of Strathclyde. He studied at Novosibirsk State University, specializing in mathematical cybernetics, and received his Ph.D. from the University of Gothenburg in 2003. He has held visiting positions at the University of California, San Diego, the Sobolev Institute of Mathematics, and the Royal Swedish Academy of Sciences, and most recently he was an Associate Professor of Mathematics in Reykjavik University. He authored the (Springer) monograph "Patterns in Permutations and Words" in 2011. His research focuses on combinatorics, discrete analysis, graph theory, and formal languages.Prof. Vadim Lozin is a Professor in the Mathematics Institute at the University of Warwick. He received his Ph.D. in theoretical informatics from the University of Nizhny Novgorod in 1995. He was a visiting professor at Rutgers University, and he has held academic and visiting positions in Russia, Sweden, Switerland, Portugal, Germany, Canada, Saudi Arabia and France. He is the Managing Editor of the (Elsevier) Electronic Notes in Discrete Mathematics, and an Associate Editor of the (Elsevier) journal Discrete Applied Mathematics. His research focuses on graph theory, combinatorics, and discrete mathematics.

• Introduction.- Hereditary Classes of Graphs.- What Word-Representable Graphs Are and Where They Come From.- Characterization of Word-Representable Graphs in Terms of Semi-transitive Orientations.- Various Results on Word-Representable Graphs.- Open Problems and Further Research Directions on Word-Representable Graphs.- Interrelations Between Words and Graphs in the Literature.- More on Interrelations Between Words and Graphs in the Literature.- App. A: Graph Theory Background.- App. B: Beyond Graph Theory Background.

“UK pioneers Kitaev (Univ. of Strathclyde) and Lozin (Univ. of Warwick) now provide a first monographic treatment. Advanced undergraduates (no previous background is required) will gain access to an almost brand-new research area still rife with open problems. Summing Up: Recommended. Upper-division undergraduates through professionals/practitioners.” (D. V. Feldman, Choice, Vol. 54 (1), September, 2016)