16-vertex graphs with automorphism groups A4 and A5 from the icosahedron
نویسندگان
چکیده
منابع مشابه
Quantum automorphism groups of vertex - transitive graphs of order ≤ 11
We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups Zn , symmetric groups Sn and quantum symmetric groups Qn , by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
متن کاملAUTOMORPHISM GROUPS OF SOME NON-TRANSITIVE GRAPHS
An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix M = [dij], where for ij, dij is the Euclidean distance between the nuclei i and j. In this matrix dii can be taken as zero if all the nuclei are equivalent. Otherwise, one may introduce different weights for distinct nuclei. Balaban introduced some monster graphs and then Randic computed complexit...
متن کاملAutomorphism groups and adversarial vertex deletions
Any finite group can be encoded as the automorphism group of an unlabeled simple graph. Recently Hartke, Kolb, Nishikawa, and Stolee (2010) demonstrated a construction that allows any ordered pair of finite groups to be represented as the automorphism group of a graph and a vertexdeleted subgraph. In this note, we describe a generalized scenario as a game between a player and an adversary: an a...
متن کاملAutomorphism groups of graphs
These lecture notes provide an introduction to automorphism groups of graphs. Some special families of graphs are then discussed, especially the families of Cayley graphs generated by transposition sets. Keywords—Automorphism groups of graphs; Cayley graphs; transposition sets.
متن کاملCompact automorphism groups of vertex operator algebras
Let V be a simple vertex operator algebra which admits the continuous, faithful action of a compact Lie group G of automorphisms. We establish a Schur-Weyl type duality between the unitary, irreducible modules for G and the irreducible modules for V G which are contained in V where V G is the space of G-invariants of V. We also prove a concomitant Galois correspondence between vertex operator s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Graph Theory and Applications
سال: 2020
ISSN: 2338-2287
DOI: 10.5614/ejgta.2020.8.2.1