Hamiltonian Path

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A Hamiltonian path on a directed graph is a path that visits every node exactly once. This algorithm finds Hamiltonian paths on arbitrary graphs by converting the problem to an instance of SAT and invoking an efficient SAT solver . Input This algorithm accepts a first argument (the graph) and an optional boolean second argument. If the second argument is true, a Hamiltonian cycle is returned. By default (or if the second argument is false), a Hamiltonian path is returned. The graph is specified as an adjacency list---that is, a map where keys are vertex names (strings) and values are lists of neighbor vertices (strings). For example, the map { "a": ["b", "c"] } represents a graph with three vertices (a, b, and c) and two edges (a->b and a->c). Note that the input graph is directed. To represent an undirected graph, just include both directions for every edge. Also note that self-edges and multi-edges are allowed, but for obvious reasons are never used in a Hamiltonian path. Output The output is a list of vertex names forming a path. If a Hamiltonian cycle was requested, the first vertex is repeated at the end of the list. If a Hamiltonian path/cycle does not exist on the graph, null is returned.

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3. Use this algorithm

curl -X POST -d '{{input | formatInput:"curl"}}' -H 'Content-Type: application/json' -H 'Authorization: Simple YOUR_API_KEY' https://api.algorithmia.com/v1/algo/cloncaric/HamiltonianPath/0.1.1
View cURL Docs
algo auth
# Enter API Key: YOUR_API_KEY
algo run algo://cloncaric/HamiltonianPath/0.1.1 -d '{{input | formatInput:"cli"}}'
View CLI Docs
import com.algorithmia.*;
import com.algorithmia.algo.*;

String input = "{{input | formatInput:"java"}}";
AlgorithmiaClient client = Algorithmia.client("YOUR_API_KEY");
Algorithm algo = client.algo("algo://cloncaric/HamiltonianPath/0.1.1");
AlgoResponse result = algo.pipeJson(input);
System.out.println(result.asJsonString());
View Java Docs
import com.algorithmia._
import com.algorithmia.algo._

val input = {{input | formatInput:"scala"}}
val client = Algorithmia.client("YOUR_API_KEY")
val algo = client.algo("algo://cloncaric/HamiltonianPath/0.1.1")
val result = algo.pipeJson(input)
System.out.println(result.asJsonString)
View Scala Docs
var input = {{input | formatInput:"javascript"}};
Algorithmia.client("YOUR_API_KEY")
           .algo("algo://cloncaric/HamiltonianPath/0.1.1")
           .pipe(input)
           .then(function(output) {
             console.log(output);
           });
View Javascript Docs
var input = {{input | formatInput:"javascript"}};
Algorithmia.client("YOUR_API_KEY")
           .algo("algo://cloncaric/HamiltonianPath/0.1.1")
           .pipe(input)
           .then(function(response) {
             console.log(response.get());
           });
View NodeJS Docs
import Algorithmia

input = {{input | formatInput:"python"}}
client = Algorithmia.client('YOUR_API_KEY')
algo = client.algo('cloncaric/HamiltonianPath/0.1.1')
print algo.pipe(input)
View Python Docs
library(algorithmia)

input <- {{input | formatInput:"r"}}
client <- getAlgorithmiaClient("YOUR_API_KEY")
algo <- client$algo("cloncaric/HamiltonianPath/0.1.1")
result <- algo$pipe(input)$result
print(result)
View R Docs
require 'algorithmia'

input = {{input | formatInput:"ruby"}}
client = Algorithmia.client('YOUR_API_KEY')
algo = client.algo('cloncaric/HamiltonianPath/0.1.1')
puts algo.pipe(input).result
View Ruby Docs
use algorithmia::*;

let input = {{input | formatInput:"rust"}};
let client = Algorithmia::client("YOUR_API_KEY");
let algo = client.algo('cloncaric/HamiltonianPath/0.1.1');
let response = algo.pipe(input);
View Rust Docs
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