LEADER 02883nam 22005415 450 001 9910760284803321 005 20231031130208.0 010 $a981-9957-69-9 024 7 $a10.1007/978-981-99-5769-9 035 $a(MiAaPQ)EBC30847607 035 $a(Au-PeEL)EBL30847607 035 $a(DE-He213)978-981-99-5769-9 035 $a(PPN)272916617 035 $a(EXLCZ)9928645363000041 100 $a20231031d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTrivalent Discrete Surfaces and Carbon Structures$b[electronic resource] /$fby Hisashi Naito 205 $a1st ed. 2023. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2023. 215 $a1 online resource (113 pages) 225 1 $aSpringerBriefs in the Mathematics of Materials,$x2365-6344 ;$v5 311 08$aPrint version: Naito, Hisashi Trivalent Discrete Surfaces and Carbon Structures Singapore : Springer,c2023 9789819957682 327 $aOverview of this monograph -- Graph theory -- Topological crystals -- Negatively curved carbon structures -- Trivalent discrete surfaces -- Subdivisions of trivalent discrete surfaces -- Miscellaneous topics. 330 $aThis book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces. Topological crystallography, based on graph theory, provides the most symmetric structure among given combinatorial structures by using the variational principle, and it can reproduce crystal structures existing in nature. In this regard, the topological crystallography founded by Kotani and Sunada is explained by using many examples. Carbon structures such as fullerenes are considered as trivalent discrete surfaces from the viewpoint of discrete geometric analysis. Discrete surface theories usually have been considered discretization of smooth surfaces. Here, consideration is given to discrete surfaces modeled by crystal/molecular structures, which are essentially discrete objects. . 410 0$aSpringerBriefs in the Mathematics of Materials,$x2365-6344 ;$v5 606 $aGeometry, Differential 606 $aDiscrete mathematics 606 $aDifferential Geometry 606 $aApplications of Discrete Mathematics 606 $aDiscrete Mathematics 615 0$aGeometry, Differential. 615 0$aDiscrete mathematics. 615 14$aDifferential Geometry. 615 24$aApplications of Discrete Mathematics. 615 24$aDiscrete Mathematics. 676 $a548.7 700 $aNaito$b Hisashi$0732150 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910760284803321 996 $aTrivalent Discrete Surfaces and Carbon Structures$93598784 997 $aUNINA