LEADER 02835nam 22005895 450 001 9910254291103321 005 20230809013156.0 010 $a3-319-52657-X 024 7 $a10.1007/978-3-319-52657-7 035 $a(CKB)3710000001079877 035 $a(DE-He213)978-3-319-52657-7 035 $a(MiAaPQ)EBC4813331 035 $a(PPN)198870590 035 $a(EXLCZ)993710000001079877 100 $a20170227d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGraceful, Harmonious and Magic Type Labelings $eRelations and Techniques /$fby Susana C. López, Francesc A. Muntaner-Batle 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XII, 134 p. 82 illus.) 225 1 $aSpringerBriefs in Mathematics,$x2191-8201 311 $a3-319-52656-1 320 $aIncludes bibliographical references. 327 $a1. Notation and terminology -- 2. Graphs labelings -- 3. Super edge magic labelings: first type of relations -- 4. Harmonious labelings -- 5. Graceful labelings: the shifting technique -- 6. The ?-product of digraphs: second type of relations -- 7. The polynomial method. . 330 $aAimed toward upper undergraduate and graduate students in mathematics, this book examines the foremost forms of graph labelings including magic, harmonious, and graceful labelings. An overview of basic graph theory concepts and notation is provided along with the origins of graph labeling. Common methods and techniques are presented introducing readers to links between graph labels. A variety of useful techniques are presented to analyze and understand properties of graph labelings. The classical results integrated with new techniques, complete proofs, numerous exercises, and a variety of open problems, will provide readers with a solid understanding of graph labelings. 410 0$aSpringerBriefs in Mathematics,$x2191-8201 606 $aGraph theory 606 $aAlgorithms 606 $aDiscrete mathematics 606 $aGraph Theory 606 $aAlgorithms 606 $aDiscrete Mathematics 615 0$aGraph theory. 615 0$aAlgorithms. 615 0$aDiscrete mathematics. 615 14$aGraph Theory. 615 24$aAlgorithms. 615 24$aDiscrete Mathematics. 676 $a511.5 700 $aLópez$b Susana C$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767188 702 $aMuntaner-Batle$b Francesc A$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254291103321 996 $aGraceful, Harmonious and Magic Type Labelings$92272613 997 $aUNINA