Tadpole Graph
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In the mathematical discipline of
graph theory In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are conne ...
, the (''m'',''n'')-tadpole graph is a special type of
graph Graph may refer to: Mathematics *Graph (discrete mathematics), a structure made of vertices and edges **Graph theory, the study of such graphs and their properties *Graph (topology), a topological space resembling a graph in the sense of discre ...
consisting of a
cycle graph In graph theory, a cycle graph or circular graph is a graph that consists of a single cycle, or in other words, some number of vertices (at least 3, if the graph is simple) connected in a closed chain. The cycle graph with vertices is called ...
on ''m'' (at least 3) vertices and a
path graph In the mathematical field of graph theory, a path graph or linear graph is a graph whose vertices can be listed in the order such that the edges are where . Equivalently, a path with at least two vertices is connected and has two terminal ...
on ''n'' vertices, connected with a
bridge A bridge is a structure built to span a physical obstacle (such as a body of water, valley, road, or rail) without blocking the way underneath. It is constructed for the purpose of providing passage over the obstacle, which is usually somethi ...
.


See also

* Barbell graph *
Lollipop graph In the mathematical discipline of graph theory, the (''m'',''n'')-lollipop graph is a special type of graph consisting of a complete graph (clique) on ''m'' vertices and a path graph on ''n'' vertices, connected with a bridge. The special case o ...


References

Parametric families of graphs {{combin-stub