000 a
999 _c33076
_d33076
008 240320b xxu||||| |||| 00| 0 eng d
020 _a9783030245818
082 _a511.5
_bBAC
100 _aBača, Martin
245 _aMagic and Antimagic Graphs : Attributes, Observations and Challenges in Graph Labelings
260 _bSpringer,
_c2019
_aCham :
300 _axv, 322 p. ;
_bill.,
_c25 cm.
365 _b129.99
_c
_d93.50
490 _aDevelopments in Mathematics 60
504 _aIncludes bibliographical references and index.
520 _aMagic and antimagic labelings are among the oldest labeling schemes in graph theory. This book takes readers on a journey through these labelings, from early beginnings with magic squares up to the latest results and beyond. Starting from the very basics, the book offers a detailed account of all magic and antimagic type labelings of undirected graphs. Long-standing problems are surveyed and presented along with recent results in classical labelings. In addition, the book covers an assortment of variations on the labeling theme, all in one self-contained monograph. Assuming only basic familiarity with graphs, this book, complete with carefully written proofs of most results, is an ideal introduction to graph labeling for students learning the subject. More than 150 open problems and conjectures make it an invaluable guide for postgraduate and early career researchers, as well as an excellent reference for established graph theorists.
650 _aGraph labelings
650 _aMagic graphs
700 _aMiller, Mirka
700 _aRyan, Joe
700 _aSemaničová-Feňovčíková, Andrea
942 _2ddc
_cBK