20.500.12556/DiRROS-28097 Random walks and the electronic structure of graphene Results from the mathematical literature on random walks reveal a closed-form analytical expression for the $\pi$-energy and bond number of graphene in the simplest tight-binding model and its Hartree-Fock Hubbard extension. Closed-form expressions follow for all $\pi$ spectral moments of graphene. Bond numbers of carbon and boron nitride (BN) zigzag nanotubes are found as finite sums, with graphene and hexagonal boron nitride sheets as asymptotes. graph theory random walks graphene bond number teorija grafov slučajni sprehodi grafen število vezi true false true Angleški jezik Slovenski jezik Neznano 2026-03-10 09:33:13 2026-03-10 09:33:13 2026-03-11 03:59:13 0000-00-00 00:00:00 2026 0 0 str. 104103-1-104103-6 iss. 10 Vol. 164 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2026-01-01 519.17:54 0021-9606 10.1063/5.0319282 271072515 104103_1_5.0319282.pdf 104103_1_5.0319282.pdf 1 39413B1E271BD81FEBEF6C4CD28CC106 e7e6a31550f5836f7e7d1a6f569bacfc5c9d62dc9335271f3c321cb446c5b3d2 202ea440-1c5c-11f1-acf8-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=41518 https://pubs.aip.org/aip/jcp/article/164/10/104103/3382613/Random-walks-and-the-electronic-structure-of 1 c8c22416-1c5b-11f1-acf8-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=41517 Inštitut za matematiko, fiziko in mehaniko 0 0 0