Using CompleteGraph as suggested by @Guesswhoitis in the comments and EdgeDelete:
opts = {VertexLabels -> Placed["Name", Center], BaseStyle -> Thick,
ImageSize -> 300, VertexSize -> {"Scaled", .1},
VertexLabelStyle -> Large};
k72 = CompleteGraph[{7, 2}, opts];
deletededges = {5 \[UndirectedEdge] 9, 2 \[UndirectedEdge] 8};
k72b = EdgeDelete[k72, deletededges];
Row[Labeled[##, Top] & @@@
{{k72, Style["k72 = CompleteGraph[{7,2}]", 18, "Panel"]},
{k72b, Style["EdgeDelete[k72Style[ "EdgeDelete[k72, {5\[UndirectedEdge]9, 2\[UndirectedEdge]8]"2\[UndirectedEdge]8}]",
18,
"Panel"]}}]