On the Number of Husimi Trees
From MaRDI portal
Publication:5821656
DOI10.1073/pnas.39.4.315zbMath0053.13104OpenAlexW2008277821WikidataQ29999444 ScholiaQ29999444MaRDI QIDQ5821656
Publication date: 1953
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1073/pnas.39.4.315
Related Items (46)
The Number of Locally Restricted Directed Graphs ⋮ Exact results for the spin-1 Ising model on pure ``square Husimi lattices: critical temperatures and spontaneous magnetization ⋮ The Dissimilarity Characteristic of Linear Graphs ⋮ Asymptotic dimension of planes and planar graphs ⋮ The second order phase transitions of the spin-1 Ising model on pure Husimi lattices with elementary triangles: Exact results ⋮ The Number of Linear, Directed, Rooted, and Connected Graphs ⋮ The number of \(m\)-Husimi trees fixed by a permutation of the vertices ⋮ Influence of multisite interaction on thermodynamics and ground-state degeneracies of frustrated magnetic systems with pyrochlore structure: an exact theoretical analysis ⋮ Evidence for the ferromagnetic frustration in a classical spin-\(1/2\) system with multisite interaction in external magnetic field: exact results ⋮ Antiferromagnetic geometric frustration under the influence of the next-nearest-neighbor interaction. An exactly solvable model ⋮ Tree-Like Structure Graphs with Full Diversity of Balls ⋮ Relevance of recursive lattice approximations for description of frustrated magnetic systems: star Kagome-like recursive lattice approximation ⋮ Refined enumeration of vertices among all rooted ordered $d$-trees ⋮ Variations on the Ising problem ⋮ Sombor index of certain graphs ⋮ Reviews Graph Theory in America: The First Hundred Years . By Robin Wilson, John J. Watkins, and David J. Parks, Princeton University Press, 2023. 320 pp., ISBN 978-0691194028, $35.00. ⋮ Counting maximal independent sets in some \(n\)-gonal cacti ⋮ Counting independent dominating sets in linear polymers ⋮ On the number of fair dominating sets of graphs ⋮ Angles of arc-polygons and lombardi drawings of cacti ⋮ Unnamed Item ⋮ On the sizes of generalized cactus graphs ⋮ The Ising model on pure Husimi lattices: a general formulation and the critical temperatures ⋮ Some Cluster Size and Percolation Problems ⋮ Enumerations, forbidden subgraph characterizations, and the split-decomposition ⋮ Single-point ground states and residual entropies in the antiferromagnetic Ising model with multisite interaction on the tetrahedral chain: exact results ⋮ Memory efficient algorithms for cactus graphs and block graphs ⋮ Chain hexagonal cacti: matchings and independent sets ⋮ Hosoya polynomial of some cactus chains ⋮ The first order phase transitions in the multisite spin-\(1 / 2\) model on a pure Husimi lattice ⋮ Mostar index and edge Mostar index of polymers ⋮ The complexity of counting homomorphisms to cactus graphs modulo 2 ⋮ Irreducible graphs ⋮ Irreducible graphs. II ⋮ The number of homeomorphically irreducible trees, and other species ⋮ TOWARDS MORE EFFICIENT INFECTION AND FIRE FIGHTING ⋮ Brill-Noether conjecture on cactus graphs ⋮ Dissimilarity Characteristic Theorems for Graphs ⋮ Intersections and circuits in sets of line segments ⋮ Weak separation, positivity and extremal Yangian invariants ⋮ Enumeration of \(m\)-ary cacti ⋮ Approximability issues of guarding a set of segments ⋮ Computation of Gutman index of some cactus chains ⋮ The computational complexity of the backbone coloring problem for planar graphs with connected backbones ⋮ Unnamed Item ⋮ Binary lattice-gases of particles with soft exclusion: exact phase diagrams for tree-like lattices
This page was built for publication: On the Number of Husimi Trees