AVERAGE DISTANCES OF LINDSTRÖM SNOWFLAKE NETWORKS
Bing Zhao, Jiaqi Fan, Lifeng Xi
Abstract
In this paper, for renormalized Lindström Snowflake networks, we discuss the geodesic metric of their limit space which is quite different from the Euclidean metric on the Lindström Snowflake. Using the dihedral group, we simplify the geodesic patterns and obtain 10,850 patterns and thus calculate the limit of average distances on renormalized Lindström Snowflake networks.
Topics & Concepts
SnowflakeGeodesicLimit (mathematics)MathematicsMetric spaceMetric (unit)Euclidean geometryEuclidean distanceGeometryMathematical analysisPhysicsEconomicsSnowMeteorologyOperations managementComplex Network Analysis TechniquesOpinion Dynamics and Social InfluenceCellular Automata and Applications