InversePermutation[p] yields the multiplicative inverse of permutation p.
Inversions[p] counts the number of inversions in permutation p.
IsomorphismQ[g, h, p] tests if permutation p defines an isomorphism between graphs g and h.
Josephus[n, m] generates the inverse of the permutation defined by executing every m\[Null]^th member in a circle of n members.
LabeledTreeToCode[g] reduces the tree g to its Prüfer code.
LeviGraph returns the unique (8, 3)-cage, a 3-regular graph whose girth is 8.
LexicographicPermutations[l] constructs all permutations of list l in lexicographic order.
LineGraph[g] constructs the line graph of graph g.
LNorm
(Combinatorica Package Symbol) LNorm[p] is a value that the option WeightingFunction, used in the function SetEdgeWeights, can take. Here p can be any integer or Infinity.
LongestIncreasingSubsequence[p] finds the longest increasing scattered subsequence of permutation p.