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- Capital Normal UniversityCN14 papers
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5 papers · 1 filter
Exact Phase Transitions of Model RB with Slower-Growing Domains
Jun Liu, Ke Xu, Guangyan Zhou
The second moment method has always been an effective tool to lower bound the satisfiability threshold of many random constraint satisfaction problems. However, the calculation is…
Regular balanced Cayley maps on
Haimiao Chen
A {\it regular balanced Cayley map} (RBCM for short) on a finite group is an embedding of a Cayley graph on into a surface, with some special symmetric property. People hav…
Quotients of polynomial rings and regular t-balanced Cayley maps on abelian groups
Haimiao Chen
Given a finite group , a regular -balanced Cayley map (RBCM for short) is a regular Cayley map such that for all . In…
Linked Partitions and Permutation Tableaux
William Y. C. Chen, Lewis H. Liu, Carol J. Wang
Linked partitions are introduced by Dykema in the study of transforms in free probability theory, whereas permutation tableaux are introduced by Steingrímsson and Williams in the s…
Noncrossing Linked Partitions and Large (3,2)-Motzkin Paths
William Y. C. Chen, Carol J. Wang
Noncrossing linked partitions arise in the study of certain transforms in free probability theory. We explore the connection between noncrossing linked partitions and colored Motzk…