diff --git a/.github/workflows/test-polymake.yml b/.github/workflows/test-polymake.yml
index 7095c45..6af8594 100644
--- a/.github/workflows/test-polymake.yml
+++ b/.github/workflows/test-polymake.yml
@@ -27,7 +27,7 @@ jobs:
     strategy:
       matrix:
         os: [ubuntu-latest, macOS-latest]
-        julia-version: ['~1.10.0-0', '~1.11.0-0', '1.12-nightly']
+        julia-version: ['~1.10.0-0', '~1.12.0-0', '1.13-nightly', 'nightly']
 
       fail-fast: false
 
diff --git a/include/jlpolymake/jlpolymake.h b/include/jlpolymake/jlpolymake.h
index e5ca0b4..0675617 100644
--- a/include/jlpolymake/jlpolymake.h
+++ b/include/jlpolymake/jlpolymake.h
@@ -29,6 +29,7 @@
 #include <polymake/Map.h>
 #include <polymake/Graph.h>
 #include <polymake/topaz/HomologyComplex.h>
+#include <polymake/graph/GraphIso.h>
 #include <polymake/group/switch_table.h>
 #include <polymake/graph/Decoration.h>
 #include <polymake/RandomGenerators.h>
@@ -45,7 +46,7 @@
 
 #define JLPOLYMAKE_VERSION_MAJOR 0
 #define JLPOLYMAKE_VERSION_MINOR 14
-#define JLPOLYMAKE_VERSION_PATCH 2
+#define JLPOLYMAKE_VERSION_PATCH 5
 
 #define __JLPOLYMAKE_STR_HELPER(x) #x
 #define __JLPOLYMAKE_STR(x) __JLPOLYMAKE_STR_HELPER(x)
diff --git a/src/polymake/generate_deps_tree.jl b/src/polymake/generate_deps_tree.jl
index 5661a34..f8f6c1c 100644
--- a/src/polymake/generate_deps_tree.jl
+++ b/src/polymake/generate_deps_tree.jl
@@ -3,12 +3,12 @@ using Pkg.Artifacts
 
 # adapted from https://github.com/JuliaLang/julia/pull/38797
 function full_artifact_dir(m::Module)
-   artifacts_toml = joinpath(dirname(dirname(Base.pathof(m))), "StdlibArtifacts.toml")
+   artifacts_toml = joinpath(dirname(dirname(Base.pathof(m)::String)), "StdlibArtifacts.toml")
 
    # If this file exists, it's a stdlib JLL and we must download the artifact ourselves
    if isfile(artifacts_toml)
        # we need to remove the _jll for the artifact name
-       meta = artifact_meta(string(m)[1:end-4], artifacts_toml)
+       meta::Dict{String,Any} = artifact_meta(string(m)[1:end-4], artifacts_toml)
        hash = Base.SHA1(meta["git-tree-sha1"])
        if !artifact_exists(hash)
            dl_info = first(meta["download"])
diff --git a/src/polymake/type_setup.pl b/src/polymake/type_setup.pl
index bf4a8c1..c1a6e76 100644
--- a/src/polymake/type_setup.pl
+++ b/src/polymake/type_setup.pl
@@ -269,6 +269,10 @@ sub EdgeMap {
         Vector(Polynomial(Rational,Int)),
         Array(Polynomial(Integer,Int)),
         Array(Polynomial(Rational,Int)),
+        Matrix(UniPolynomial(Rational,Int)),
+        Vector(UniPolynomial(Rational,Int)),
+        Array(UniPolynomial(Integer,Int)),
+        Array(UniPolynomial(Rational,Int)),
 
         Map(String,String),
         Map(String,Int),
@@ -281,7 +285,12 @@ sub EdgeMap {
         Map(Set(Int),Vector(Rational)),
         Map(Vector(Int),Integer),
         Map(Pair(Int,Int),Int),
+        Map(Pair(Int,Int),double),
+        Map(Pair(Int,Int),Integer),
+        Map(Pair(Int,Int),Rational),
+        Map(Pair(Int,Int),String),
         Map(Pair(Int,Int),Vector(Integer)),
+        Map(Pair(Int,Int),Vector(Rational)),
 
         IncidenceMatrix,
         Array(IncidenceMatrix),
diff --git a/src/type_graph.cpp b/src/type_graph.cpp
index 20bb38f..fcbaeb3 100644
--- a/src/type_graph.cpp
+++ b/src/type_graph.cpp
@@ -44,6 +44,41 @@ void add_graph(jlcxx::Module& jlpolymake)
         wrapped.method("show_small_obj", [](const WrappedT& S) {
             return show_small_object<WrappedT>(S);
         });
+
+        wrapped.method("_canonical_hash", [](const WrappedT& G, const Array<Int>& col, long key) {
+            graph::GraphIso gi;
+            graph::GraphIso::prepare_colored(gi, G, col);
+            return gi.hash(key);
+        });
+        wrapped.method("_canonical_hash", [](const WrappedT& G, long key) {
+            return graph::canonical_hash(G, key);
+        });
+        wrapped.method("_canonical_perm", [](const WrappedT& G, const Array<Int>& col) {
+            graph::GraphIso gi;
+            graph::GraphIso::prepare_colored(gi, G, col);
+            return gi.canonical_perm();
+        });
+        wrapped.method("_canonical_form", [](const WrappedT& G) {
+            return graph::canonical_form(G);
+        });
+        wrapped.method("_is_isomorphic", [](const WrappedT& G1, const WrappedT& G2) {
+            return graph::isomorphic(G1, G2);
+        });
+        wrapped.method("_is_isomorphic_with_colors", [](const WrappedT& G1, const Array<Int>& col1, const WrappedT& G2, const Array<Int>& col2) {
+            return graph::isomorphic(G1, col1, G2, col2);
+        });
+        wrapped.method("_permute_nodes", [](const WrappedT& G, const Array<Int>& perm) {
+            return pm::permuted_nodes(G, perm);
+        });
+        wrapped.method("_permute_nodes!", [](WrappedT& G, const Array<Int>& perm) {
+            G.permute_nodes(perm);
+        });
+        wrapped.method("_automorphisms", [](const WrappedT& G, const Array<Int>& col) {
+            return graph::automorphisms(G, col);
+        });
+        wrapped.method("_automorphisms", [](const WrappedT& G) {
+            return graph::automorphisms(G);
+        });
     });
 
     jlpolymake.add_type<jlcxx::Parametric<jlcxx::TypeVar<1>>>("GraphEdgeIterator")
diff --git a/test-prepare.jl b/test-prepare.jl
index 5cd19b2..f461e57 100644
--- a/test-prepare.jl
+++ b/test-prepare.jl
@@ -1,8 +1,8 @@
 using Pkg
 
-Pkg.add(name="libcxxwrap_julia_jll", version="0.14.3")
+Pkg.add(name="libcxxwrap_julia_jll", version="0.14.9")
 Pkg.pin("libcxxwrap_julia_jll")
-Pkg.add(name="polymake_jll", version="400.1500.0")
+Pkg.add(name="polymake_jll", version="400.1500.2")
 
 using polymake_jll
 using libcxxwrap_julia_jll