05300nam 2200649 450 991014119600332120170815153913.01-283-33198-597866133319841-118-03249-71-118-03074-5(CKB)2670000000133154(EBL)695948(OCoLC)768230300(SSID)ssj0000554814(PQKBManifestationID)11356212(PQKBTitleCode)TC0000554814(PQKBWorkID)10517363(PQKB)10010730(MiAaPQ)EBC695948(EXLCZ)99267000000013315420160816h19951995 uy 0engur|n|---|||||txtccrGraph coloring problems /Tommy R. Jensen, Bjarne ToftNew York, New York :John Wiley & Sons, Inc.,1995.©19951 online resource (324 p.)Wiley-Interscience Series in Discrete Mathematics and Optimization"A Wiley-Interscience Publication."0-471-02865-7 Includes bibliographical references at the end of each chapters and indexes.Graph Coloring Problems; Contents; Preface; 1 Introduction to Graph Coloring; 1.1 Basic Definitions; 1.2 Graphs on Surfaces; 1.3 Vertex Degrees and Colorings; 1.4 Criticality and Complexity; 16.14 Partition Problem of Galvin and Hajnal; 1.5 Sparse Graphs and Random Graphs; 1.6 Perfect Graphs; 1.7 Edge-Coloring; 1.8 Orientations and Integer Flows; 1.9 List Coloring; 1.10 Generalized Graph Coloring; 1.11 Final Remarks; Bibliography; 2 Planar Graphs; 2.1 Four-Color Theorem; 2.2 Cartesian Sequences; 2.3 Intersection Graphs of Planar Segments; 2.4 Ringerl's Earth-Moon Problem2.5 Ore and Plummer's Cyclic Chromatic Number2.6 Vertex Partitionings w.r.t. Coloring Number; 2.7 Vertex Partitionings w.r.t. Maximum Degree; 2.8 The Three-Color Problem; 2.9 Steinberg's Three-Color Problem; 2.10 Grünbaum and Havel's Three-Color Problem; 2.11 Grötzsch and Sachs' Three-Color Problem; 2.12 Barnette's Conjecture; 2.13 List-Coloring Planar Graphs; 2.14 Kronk and Mitchem's Entire Chromatic Number; 2.15 Nine-Color Conjecture; 2.16 Uniquely Colorable Graphs; 2.17 Density of 4-Critical Planar Graphs; 2.18 Square of Planar Graphs; Bibliography; 3 Graphs on Higher Surfaces3.1 Heawood's Empire Problem3.2 Grünbaum's 3-Edge-Color Conjecture; 3.3 Albertson's Four-Color Problem; 3.4 Improper Colorings; 3.5 Number of 6-Critical Graphs on a Surface; 3.6 Toroidal Polyhedra; 3.7 Polynomial Coloring of Embedded Graphs; 3.8 Sparse Embedded Graphs; 3.9 Ringel's 1-Chromatic Number; 3.10 Borodin's Conjecture on Diagonal Coloring; 3.11 Acyclic Colorings; 3.12 Cochromatic Numbers; 3.13 Graphs on Pseudo-Surfaces; Bibliography; 4 Degrees; 4.1 The Coloring Number; 4.2 Coloring of Decomposable Graphs; 4.3 Color-Bound Families of Graphs; 4.4 Edge-Disjoint Placements4.5 Powers of Hamilton Cycles4.6 Brooks' Theorem for Triangle-Free Graphs; 4.7 Graphs Without Large Complete Subgraphs; 4.8 k-Chromatic Graphs of Maximum Degree k; 4.9 Total Coloring; 4.10 Equitable Coloring; 4.11 Acyclic Coloring; 4.12 Melnikov's Valency-Variety Problem; 4.13 Induced-Odd Degree Subgraphs; 4.14 Strong Chromatic Number; Bibliography; 5 Critical Graphs; 5.1 Critical Graphs With Many Edges; 5.2 Minimum Degree of 4- and 5-Critical Graphs; 5.3 Critical Graphs With Few Edges; 5.4 Four-Critical Amenable Graphs; 5.5 Four-Critical Degree 5 Problem5.6 Large Critical Subgraphs of Critical Graphs5.7 Critical Subgraph Covering a 2-Path; 5.8 Noninduced Critical Subgraphs; 5.9 Number of Critical Subgraphs; 5.10 Subgraphs of Critical Graphs; 5.11 Minimal Circumference of Critical Graphs; 5.12 The Erdös-Lovász Tihany Problem; 5.13 Partial Joins of Critical Graphs; 5.14 Vertex-Critical Graphs Without Critical Edges; Bibliography; 6 The Conjectures of Hadwiger and Hajós; 6.1 Hadwiger's Conjecture; 6.2 Hajós' Conjecture; 6.3 The (m, n)- and [m, n]-Conjectures; 6.4 Hadwiger Degree of a Graph; 6.5 Graphs Without Odd-K5; 6.6 Scheme Conjecture6.7 Chromatic 4-SchemesContains a wealth of information previously scattered in research journals, conference proceedings and technical reports. Identifies more than 200 unsolved problems. Every problem is stated in a self-contained, extremely accessible format, followed by comments on its history, related results and literature. The book will stimulate research and help avoid efforts on solving already settled problems. Each chapter concludes with a comprehensive list of references which will lead readers to original sources, important contributions and other surveys.Wiley-Interscience series in discrete mathematics and optimization.Graph coloringElectronic books.Graph coloring.511.5511/.5Jensen Tommy R.753649Toft BjarneMiAaPQMiAaPQMiAaPQBOOK9910141196003321Graph coloring problems1516178UNINA02969nam 2200685 a 450 991096691970332120251117095057.00-295-80076-310.1515/9780295800769(CKB)2550000000088350(EBL)3444416(SSID)ssj0000645107(PQKBManifestationID)11386738(PQKBTitleCode)TC0000645107(PQKBWorkID)10680247(PQKB)10851019(OCoLC)778482836(MdBmJHUP)muse6922(Au-PeEL)EBL3444416(CaPaEBR)ebr10521814(CaONFJC)MIL810390(DE-B1597)725582(DE-B1597)9780295800769(MiAaPQ)EBC3444416(EXLCZ)99255000000008835020020809d2002 uy 0engur|n|---|||||txtccrCandles in the dark a new spirit for a plural world /edited by Barbara Sundberg Baudot ; foreword by Vaclav Havel1st ed.Manchester, N.H. New Hampshire Institute of Politics at Saint Anselm College ;Seattle, Wash. University of Washington Press20021 online resource (398 p.)Description based upon print version of record.0-295-98292-6 Includes bibliographical references.pt. 1. The need for a political renaissance -- pt. 2. Perspectives from religious and philosophical traditions -- pt. 3. Insights from art, language and literature -- pt. 4. Values for a global society.Candles in the Dark is an international compendium of essays that share a sense of the importance of introducing ethical and spiritual concepts and values into the public discourse on progress and globalization issues. They offer a new approach to international relations and public policy that esteems the human spirit and dignity as central values in decision making, seeks links between self interest and the common good, and introduces, in a practical way, philosophical, spiritual, and cultural perspectives in the political discourse on global political and socioeconomic problems.Social ethicsValuesGlobalizationMoral and ethical aspectsProgressMoral and ethical aspectsSpiritual lifeSocial ethics.Values.GlobalizationMoral and ethical aspects.ProgressMoral and ethical aspects.Spiritual life.172Baudot Barbara Sundbergauthttp://id.loc.gov/vocabulary/relators/aut1892004Baudot Barbara Sundberg1892004MiAaPQMiAaPQMiAaPQBOOK9910966919703321Candles in the dark4536676UNINA