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What (who) is regular graph - definition
Regular graph
GRAPH WHERE EACH VERTEX HAS THE SAME NUMBER OF NEIGHBORS
K-regular graph; K‑regular graph; Regular graph of degree k; Regular directed graph; Regular graphs
In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e.
Distance-regular graph
![The degree 7 [[Klein graph]] and associated map embedded in an orientable surface of genus 3. This graph is distance regular with intersection array {7,4,1;1,2,7} and automorphism group PGL(2,7).](https://commons.wikimedia.org/wiki/Special:FilePath/Klein-map.png?width=200 "The degree 7 [[Klein graph]] and associated map embedded in an orientable surface of genus 3. This graph is distance regular with intersection array {7,4,1;1,2,7} and automorphism group PGL(2,7).")
A REGULAR GRAPH SUCH THAT FOR ANY TWO VERTICES V AND W, THE NUMBER OF VERTICES AT DISTANCE J FROM V AND AT DISTANCE K FROM W DEPENDS ONLY UPON J, K
Distance regular graph; Intersection array; Distance-regular graphs; Intersection Array
In the mathematical field of graph theory, a distance-regular graph is a regular graph such that for any two vertices and , the number of vertices at distance from and at distance from depends only upon , , and the distance between and .
