xii Contents 69 21 7.2 Bipartite Graphs........ 7.3 Modular Chromatic Index and Chromatic Number................... 个 8 Strong Edge Colorings of Graphs. 8.1 The Strong Chromatic Index 81 8.2 Binomial Colorings of Graphs 8.3 The Neighbor Strong Chromatic Index. 91 9 Sum-Defined Chromatic Indices 91 The Irregular-Sum Chromatic Index 9.2 The Proper-Sum Chromatic Index .................. 9.3 The Twin Chromatic Index...................... 102 4 Trees.................................................................... 106 References.... 113 117 xii Contents 7 Modular Sum-Defined Neighbor-Distinguishing Colorings ............. 69 7.1 Modular Chromatic Index .............................................. 69 7.2 Bipartite Graphs......................................................... 71 7.3 Modular Chromatic Index and Chromatic Number ................... 77 8 Strong Edge Colorings of Graphs.......................................... 81 8.1 The Strong Chromatic Index ........................................... 81 8.2 Binomial Colorings of Graphs ......................................... 85 8.3 The Neighbor Strong Chromatic Index ................................ 91 9 Sum-Defined Chromatic Indices ........................................... 95 9.1 The Irregular-Sum Chromatic Index ................................... 95 9.2 The Proper-Sum Chromatic Index ..................................... 98 9.3 The Twin Chromatic Index ............................................. 102 9.4 Trees ..................................................................... 106 References......................................................................... 113 Index ............................................................................... 117