Total Colourings of Graphs
Yap, Hian-Poh.
Total Colourings of Graphs [electronic resource] / by Hian-Poh Yap. - VIII, 140 p. online resource. - Lecture Notes in Mathematics, 1623 0075-8434 ; . - Lecture Notes in Mathematics, 1623 .
Basic terminology and introduction -- Some basic results -- Complete r-partite graphs -- Graphs of low degree -- Graphs of high degree -- Classification of type 1 and type 2 graphs -- Total chromatic number of planar graphs -- Some upper bounds for the total chromatic number of graphs -- Concluding remarks.
This book provides an up-to-date and rapid introduction to an important and currently active topic in graph theory. The author leads the reader to the forefront of research in this area. Complete and easily readable proofs of all the main theorems, together with numerous examples, exercises and open problems are given. The book is suitable for use as a textbook or as seminar material for advanced undergraduate and graduate students. The references are comprehensive and so it will also be useful for researchers as a handbook.
9783540493013
10.1007/BFb0092895 doi
Combinatorics.
Combinatorics.
QA164-167.2
511.6
Total Colourings of Graphs [electronic resource] / by Hian-Poh Yap. - VIII, 140 p. online resource. - Lecture Notes in Mathematics, 1623 0075-8434 ; . - Lecture Notes in Mathematics, 1623 .
Basic terminology and introduction -- Some basic results -- Complete r-partite graphs -- Graphs of low degree -- Graphs of high degree -- Classification of type 1 and type 2 graphs -- Total chromatic number of planar graphs -- Some upper bounds for the total chromatic number of graphs -- Concluding remarks.
This book provides an up-to-date and rapid introduction to an important and currently active topic in graph theory. The author leads the reader to the forefront of research in this area. Complete and easily readable proofs of all the main theorems, together with numerous examples, exercises and open problems are given. The book is suitable for use as a textbook or as seminar material for advanced undergraduate and graduate students. The references are comprehensive and so it will also be useful for researchers as a handbook.
9783540493013
10.1007/BFb0092895 doi
Combinatorics.
Combinatorics.
QA164-167.2
511.6