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Everything about Transitive relation
Type of binary relation
In mathematics, a binary relation R on a set X is transitive if, for all elements a, b, c in X, whenever R relates a to b and b to c, then R also relates a to c. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Transitive relationA 5-minute orientation
- Skim a recent paper: Fixed Point Results via G-Transitive Binary Relation and Fuzzy L-R-ContractionInfluential work since 2022
- Pick up a classic book: Population, ethnicity, and nation-buildingThe most-reprinted book on the subject
- Read the landmark paper: Groups in which normality is a transitive relationCited 119 times
- Go sideways: Homogeneous relationA closely related topic
- Go sideways: Euclidean relationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Groups in which normality is a transitive relation
On finite solvable groups in which normality is a transitive relation
Parallel evaluation of the transitive closure of a database relation
On computing the transitive closure of a relation
Searching for flexible repeated patterns using a non-transitive similarity relation
Groups in Which Commutativity Is a Transitive Relation
How to Make $T$-Transitive a Proximity Relation
Finite Groups in which $\tau$-Quasinormality is a Transitive Relation
🆕 Influential since 2022
Fixed Point Results via G-Transitive Binary Relation and Fuzzy L-R-Contraction
Boyd-Wong type functional contractions under locally transitive binary relation with applications to boundary value problems
Finite groups in which modularity is a transitive relation
Periodic linear groups in which permutability is a transitive relation
Suzuki–Ćirić-Type Nonlinear Contractions Employing a Locally ζ-Transitive Binary Relation with Applications to Boundary Value Problems
📚 Books worth reading
Population, ethnicity, and nation-buildingCalvin Goldscheider · 1995- 📕Lost in the Transit DesertDiane Jones Allen · 2017
Authoritarian regimes in transitionHans Binnendijk, Diane B. Bendahmane · 1987- 📕Graduate Careers in ContextFiona Christie, Ciaran Burke · 2018
- 📕Reconciliation after WarRachel Kerr, Henry Redwood · 2021
- 📕The impact of labor-management relations on productivity and efficiency in urban mass transitJames L. Perry · 1979
- 📕Justice Across BoundariesOnora O'Neill · 2016
Blockbusting in BaltimoreW. Edward Orser · 1994
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Homogeneous relation In mathematics, a homogeneous relation (also called endorelation) on a set X is a binary relation between X and itself, i.e. it is a subset of the Cartesian…
- Euclidean relation In mathematics, Euclidean relations are a class of binary relations that formalize "Axiom 1" in Euclid's Elements: "Magnitudes which are equal to the same…
- Relation (mathematics) In mathematics, a relation denotes some kind of relationship between two objects in a set, which may or may not hold. As an example, "is less than" is…
- Preorder In mathematics, in particular in order theory, a preorder or quasiorder is a binary relation that is reflexive and transitive. The name preorder is meant…
- Quasitransitive relation The mathematical notion of quasitransitivity is a weakened version of transitivity that is used in social choice theory and microeconomics. Informally…
- Binary relation In mathematics, a binary relation associates some elements of one set called the domain with some elements of another set (possibly the same) called the…
- Equivalence relation In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric, and transitive. The equipollence relation between line segments…
- Weak ordering In order theory, a weak ordering is a mathematical formalization of the intuitive notion of a ranking of a set, some of whose members may be tied with…