CONTENTS1. Introduction........................................................................................................ 5 1.1. Purpose and scope................................................................................. 5 1.2. Basic graphtheoretical terms................................................................ 62. Domination, independence and irredundance in graphs................................ 9 2.1. Introduction and preliminaries.............................................................. 9 2.2. Domination parameters of vertex and edgedeleted subgraphs..... 15 2.3. Packing and covering numbers............................................................ 25 2.4. Conditions for equalities of domination parameters........................ 353. Well covered graphs........................................................................................ 46 3.1. Introduction and preliminary results..................................................... 46 3.2. The well coveredness of products of graphs..................................... 55 3.3. Well covered simplicial and chordal graphs...................................... 67 3.4. Well covered line and total graphs....................................................... 73 3.5. Well covered generalized Petersen graphs........................................ 78 3.6. Well irredundant graphs......................................................................... 804. Graphical sequences and sets of integers......................................................... 85 4.1. Dominationfeasible sequences........................................................... 86 4.2. Interpolation properties of domination parameters.......................... 91References.................................................................................................................... 94
@book{bwmeta1.element.zamlynska-d220bf8e-049c-4cac-81bf-5d51e6340c28, author = {Jerzy Topp}, title = {Domination, independence and irredundance in graphs}, series = {GDML\_Books}, publisher = {Instytut Matematyczny Polskiej Akademi Nauk}, address = {Warszawa}, year = {1995}, zbl = {0830.05052}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-d220bf8e-049c-4cac-81bf-5d51e6340c28} }
Jerzy Topp. Domination, independence and irredundance in graphs. GDML_Books (1995), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-d220bf8e-049c-4cac-81bf-5d51e6340c28/