LEADER 01379nam 2200361 n 450 001 996386665303316 005 20200824121406.0 035 $a(CKB)1000000000613291 035 $a(EEBO)2248533036 035 $a(UnM)99848920e 035 $a(UnM)99848920 035 $a(EXLCZ)991000000000613291 100 $a19920122d1604 uy | 101 0 $alat 135 $aurbn||||a|bb| 200 00$aDe vera poenitentia liber unus, a ministro verbi Dei inter Suffolcienses, I.A. Londinensi, scriptus & compositus, S. Theologić, apud Oxonienses Baccalaureo, Christi seruo inutili, & indigno$b[electronic resource] 210 $aLondini $cExcudebat Richardus Field$d1604 215 $a[128] p 300 $aDedication signed: Ioannes Argallus, .. 300 $aSignatures: A-H. 300 $aReproduction of the original in the Cambridge University Library. 330 $aeebo-0021 606 $aRepentance$vEarly works to 1800 615 0$aRepentance 700 $aArgall$b John$fd. 1606.$01010638 801 0$bCu-RivES 801 1$bCu-RivES 801 2$bCStRLIN 801 2$bWaOLN 906 $aBOOK 912 $a996386665303316 996 $aDe vera poenitentia liber unus, a ministro verbi Dei inter Suffolcienses, I.A. Londinensi, scriptus & compositus, S. Theologić, apud Oxonienses Baccalaureo, Christi seruo inutili, & indigno$92338659 997 $aUNISA LEADER 01520nas 2200493-a 450 001 996215360203316 005 20230708213018.0 011 $a1878-0164 035 $a(DE-599)ZDB2191912-4 035 $a(OCoLC)60625353 035 $a(CKB)1000000000019819 035 $a(CONSER)--2005264508 035 $a(EXLCZ)991000000000019819 100 $a20050614a20059999 --- - 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aInternational journal of osteopathic medicine $eIJOM 210 $a[Amsterdam, the Netherlands] $cElsevier$d©2005- 215 $a1 online resource 300 $aRefereed/Peer-reviewed 311 $a1746-0689 517 1 $aIJOM 531 $aINT J OSTEOPATH MED 531 $aINT. J. OSTEOPATH. MED 606 $aOsteopathic medicine$vPeriodicals 606 $aOsteopathic Medicine 606 $aOsteopathic medicine$2fast$3(OCoLC)fst01048799 608 $aPeriodical 608 $aPeriodicals.$2fast 608 $aPeriodicals.$2lcgft 615 0$aOsteopathic medicine 615 2$aOsteopathic Medicine 615 7$aOsteopathic medicine. 676 $a615.53305 712 02$aAustralian Osteopathic Association. 712 02$aAustralian Student Osteopathic Medicine Association. 712 02$aGeneral Osteopathic Council (UK) 906 $aJOURNAL 912 $a996215360203316 996 $aInternational journal of osteopathic medicine$91897935 997 $aUNISA LEADER 03737nam 22004815 450 001 9911003576803321 005 20250523130242.0 010 $a981-9647-45-2 024 7 $a10.1007/978-981-96-4745-3 035 $a(CKB)39124518000041 035 $a(DE-He213)978-981-96-4745-3 035 $a(MiAaPQ)EBC32154287 035 $a(Au-PeEL)EBL32154287 035 $a(OCoLC)1524421980 035 $a(EXLCZ)9939124518000041 100 $a20250523d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMaximal Planar Graph Theory and the Four-Color Conjecture /$fby Jin Xu 205 $a1st ed. 2025. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2025. 215 $a1 online resource (XIV, 232 p. 179 illus., 8 illus. in color.) 311 08$a981-9647-44-4 327 $aChapter 1 Graph Theory Fundamentals -- Chapter 2 Discharging and Structure of Maximal Planar Graphs -- Chapter 3 Computer-Based Proofs of Four Color Conjecture -- Chapter 4 Construction of Maximal Planar Graphs with the same order -- Chapter 5 Construction of Maximal Planar Graphs with the different order -- Chapter 6 Generating System of Maximal Planar Graphs -- Chapter 7 Recursion Formulae of Chromatic Polynomial and Four-Color Conjecture -- Chapter 8 Purely Tree-colorable and Uniquely 4-Colorable Maximal Planar Graph Conjectures -- Chapter 9 Kempe Change. 330 $aThis open access book integrates foundational principles with advanced methodologies concerning maximal planar graphs. It offers readers an exceptional examination of graph structures, chromatic polynomials, and the construction and proof techniques of the Four-Color Conjecture. It is tailored for researchers, educators, and students involved in graph theory, combinatorics, and computational mathematics. The book consists of nine meticulously developed chapters. It starts with fundamental concepts in graph theory and then advances to pioneering computational proofs and recursive formulas of the chromatic number related to maximal planar graphs. Notable features include comprehensive discharging techniques, innovative approaches for constructing graphs of various orders, and groundbreaking conjectures concerning tree-colorability and unique four-colorability. The concluding chapter introduces Kempe's changes, offering new insights into the dynamics of graph coloring. Whether you are an academic enhancing your theoretical knowledge or a student searching for clear explanations for complex concepts, this book provides essential tools for navigating and addressing some of the most intricate challenges in graph theory. Its rigorous analysis and computational techniques equip readers with the necessary skills to engage deeply with maximal planar graph problems, making it an indispensable resource for advancing research and practical applications. No prior knowledge is necessary; however, a foundational understanding of graph theory is advised. This opportunity presents a chance to explore innovative perspectives and methodologies that expand the horizons of mathematical inquiry and proof development. 606 $aComputer science 606 $aGeometry 606 $aComputational Geometry 615 0$aComputer science. 615 0$aGeometry. 615 14$aComputational Geometry. 676 $a004.0151 700 $aXu$b Jin$4aut$4http://id.loc.gov/vocabulary/relators/aut$01784601 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911003576803321 996 $aMaximal Planar Graph Theory and the Four-Color Conjecture$94384517 997 $aUNINA