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- W171696157 abstract "The Friendship Theorem states that if any two distinct vertices in a finite graph are joined by a unique path of length two, then there is a vertex which is adjacent to every other vertex. Several generalizations are possible. This paper deals with Kotzig's conjecture that, for k ≥ 3, there are no finite graphs in which any two distinct vertices are joined by a unique path of length k. A survey of known results, including some original work, is presented, along with a discussion of possible attacks on the conjecture" @default.
- W171696157 created "2016-06-24" @default.
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- W171696157 date "1985-01-01" @default.
- W171696157 modified "2023-09-27" @default.
- W171696157 title "Kotzig's Conjecture on Generalized Friendship Graphs - a Survey" @default.
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- W171696157 doi "https://doi.org/10.1016/s0304-0208(08)73028-7" @default.
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