Definition of Eulerian. Meaning of Eulerian. Synonyms of Eulerian

- In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices)...
- location. The Lagrangian and Eulerian specifications of the flow field are sometimes loosely denoted as the Lagrangian and Eulerian frame of reference. However...
- \chi (S^{2})=F-E+V=2} Eulerian circuit, Euler cycle or Eulerian path – a path through a graph that takes each edge once Eulerian graph has all its vertices...
- In combinatorics, the Eulerian number A ( n , k ) {\textstyle A(n,k)} is the number of permutations of the numbers 1 to n {\textstyle n} in which exactly...
- have even degree. All Eulerian circuits are also Eulerian paths, but not all Eulerian paths are Eulerian circuits. Euler's work was presented to the St...
- In matroid theory, an Eulerian matroid is a matroid whose elements can be partitioned into a collection of disjoint circuits. In a uniform matroid U n...
- graph need not be Hamiltonian (see, for example, the Petersen graph). An Eulerian graph G (a connected graph in which every vertex has even degree) necessarily...
- integral graph—a graph whose spectrum consists entirely of integers. An Eulerian subgraph of a graph G {\displaystyle G} is a subgraph consisting of a subset...
- the Euler diagram shows only relevant relationships. The first use of "Eulerian circles" is commonly attributed to Swiss mathematician Leonhard Euler (1707–1783)...
- In com****tional fluid dynamics, the Stochastic Eulerian Lagrangian Method (SELM) is an approach to capture essential features of fluid-structure interactions...