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We observe that a lobster with diameter at least five has a unique path $H=x_0,x_1,...,x_m$ with the property that besides the adjacencies in $H$ both $x_0$ and $x_m$ are adjacent to the centers of at least one $K_{1,s}$, where $s>0$, and each $x_i$, $1\le i\le m-1$, is adjacent at most to the centers of some $K_{1,s}$, where $s\ge 0$. This path $H$ is called the central path of the lobster. We call $K_{1,s}$ an even branch if $s$ is nonzero even, an odd branch if $s$ is odd and a pendant branch if $s=0$. In the existing literature only some specific classes of lobsters have been found...