Дмитрий

<?php
class Node
{
    public $data;
    public $next;

    function __construct($data, $next = null)
    {
        $this->data = $data;
        $this->next = $next;
    }
}

class LinkedList{

    public $head = null;

    public function push(Node $node){
        if($this->head == null){
            $this->head = $node;
            return $this;
        }

        $current = $this->head;
        while($current->next != null) {
            $current = $current->next;
        }

        $current->next = $node;
        return $this;
    }

    public function cut(int $index){
        if($index == 0){
            $this->head = $this->head->next;
            return $this;
        }

        $i = 0;
        $previous = null;
        $current = $this->head;
        do {
            if($i == $index){
                $previous->next = $current->next;
                return $this;
            }
            $previous = $current;
            $i++;
        }while(($current = $current->next) != null);

        throw new Exception('Надо эксепшен что бы out of bounds');
    }

    public function printList()
    {
        if(!$this->head){
            echo 'empty list'.PHP_EOL;
            return $this;
        }
        $current = $this->head;

        echo $current->data.' -> ';
        while (($current = $current->next)) {
            echo $current->data;

            if($current->next) {
                echo ' -> ';
            }
        }

        echo PHP_EOL;

        return $this;
    }

}

$linkedList = new LinkedList();

$linkedList
    ->push(new Node('Ari'))
    ->push(new Node('Malcolm'))
    ->push(new Node('Pete'))
    ->push(new Node('Ricky'))
    ->push(new Node('Sean'));
$linkedList
    ->printList()
    ->cut(2)
    ->printList()
    ->cut(1)
    ->printList()
    ->cut(10);