Maintaining the spirit of the reflection principle when the boundary has arbitrary integer slope

DOI10.1016/j.jcta.2003.09.004zbMath1032.05004OpenAlexW2070651047MaRDI QIDQ1421335

Luis G. Serrano, Ian P. Goulden

Publication date: 26 January 2004

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2003.09.004

zbMATH Keywords

Ballot problemLattice pathCombinatorial bijection

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items

Enumerating closed flows on forks ⋮ Facets of the generalized cluster complex and regions in the extended Catalan arrangement of type \(A\) ⋮ A complete enumeration of Ballot permutations avoiding sets of small patterns ⋮ On distribution of the leadership time in counting votes and predicting winners ⋮ Simple formulas for lattice paths avoiding certain periodic staircase boundaries ⋮ The number of lattice paths below a cyclically shifting boundary ⋮ Multi-robot adversarial patrolling strategies via lattice paths ⋮ A Chung-Feller theorem for lattice paths with respect to cyclically shifting boundaries

Cites Work

• Counting pairs of nonintersecting lattice paths with respect to weighted turns
• A problem of arrangements
• Some properties of compositions and their application to probability and statistics I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item