diff --git a/conda/environments/all_cuda-120_arch-x86_64.yaml b/conda/environments/all_cuda-121_arch-x86_64.yaml
similarity index 64%
rename from conda/environments/all_cuda-120_arch-x86_64.yaml
rename to conda/environments/all_cuda-121_arch-x86_64.yaml
index 9df8386ea..31c78a3f8 100644
--- a/conda/environments/all_cuda-120_arch-x86_64.yaml
+++ b/conda/environments/all_cuda-121_arch-x86_64.yaml
@@ -3,53 +3,53 @@
 channels:
 - conda-forge
 - rapidsai
-- nvidia/label/cuda-12.0.0
+- nvidia/label/cuda-12.1.0
 - nvidia
 - rapidsai-nightly
 dependencies:
 - bash-completion
-- benchmark=1.6.0
-- boost-cpp=1.82
+- benchmark>=1.6.0
+- boost-cpp>=1.82
 - ccache
 - clang-tools=16
 - clang=16
 - clangdev=16
 - clangxx=16
 - cmake=3.26.4
-- codecov=2.1
-- cuda-cudart-dev=12.0
+- codecov>=2.1
+- cuda-cudart-dev=12.1
 - cuda-nvcc
-- cuda-nvml-dev=12.0
-- cuda-nvrtc-dev=12.0
-- cuda-tools=12.0
-- cuda-version=12.0
+- cuda-nvml-dev=12.1
+- cuda-nvrtc-dev=12.1
+- cuda-tools=12.1
+- cuda-version=12.1
 - cxx-compiler
-- doxygen=1.9.2
+- doxygen>=1.9.2
 - flake8
-- gcovr=5.0
+- gcovr>=5.0
 - gdb
-- glog=0.6
-- graphviz=3.0
-- gtest=1.13
+- glog>=0.6
+- gtest>=1.13
 - gxx=11.2
 - include-what-you-use=0.20
 - libclang-cpp=16
 - libclang=16
 - libgrpc
-- libhwloc=2.9.2
+- libhwloc>=2.9.2
 - librmm=23.12
 - llvmdev=16
-- ninja=1.10
+- ninja>=1.10
 - nlohmann_json=3.9
 - numactl-libs-cos7-x86_64
 - numpy>=1.21
-- pkg-config=0.29
+- pkg-config>=0.29
 - pre-commit
 - pybind11-stubgen=0.10
 - pytest
 - pytest-asyncio
 - pytest-timeout
+- python-graphviz
 - scikit-build>=0.17
-- ucx=1.15
+- ucx>=1.15
 - yapf
-name: all_cuda-120_arch-x86_64
+name: all_cuda-121_arch-x86_64
diff --git a/conda/environments/ci_cuda-120_arch-x86_64.yaml b/conda/environments/ci_cuda-121_arch-x86_64.yaml
similarity index 58%
rename from conda/environments/ci_cuda-120_arch-x86_64.yaml
rename to conda/environments/ci_cuda-121_arch-x86_64.yaml
index 5fa02e045..150a18ca4 100644
--- a/conda/environments/ci_cuda-120_arch-x86_64.yaml
+++ b/conda/environments/ci_cuda-121_arch-x86_64.yaml
@@ -3,41 +3,41 @@
 channels:
 - conda-forge
 - rapidsai
-- nvidia/label/cuda-12.0.0
+- nvidia/label/cuda-12.1.0
 - nvidia
 - rapidsai-nightly
 dependencies:
-- benchmark=1.6.0
-- boost-cpp=1.82
+- benchmark>=1.6.0
+- boost-cpp>=1.82
 - ccache
 - cmake=3.26.4
-- codecov=2.1
-- cuda-cudart-dev=12.0
+- codecov>=2.1
+- cuda-cudart-dev=12.1
 - cuda-nvcc
-- cuda-nvml-dev=12.0
-- cuda-nvrtc-dev=12.0
-- cuda-tools=12.0
-- cuda-version=12.0
+- cuda-nvml-dev=12.1
+- cuda-nvrtc-dev=12.1
+- cuda-tools=12.1
+- cuda-version=12.1
 - cxx-compiler
-- doxygen=1.9.2
-- gcovr=5.0
-- glog=0.6
-- graphviz=3.0
-- gtest=1.13
+- doxygen>=1.9.2
+- gcovr>=5.0
+- glog>=0.6
+- gtest>=1.13
 - gxx=11.2
 - include-what-you-use=0.20
 - libgrpc
-- libhwloc=2.9.2
+- libhwloc>=2.9.2
 - librmm=23.12
-- ninja=1.10
+- ninja>=1.10
 - nlohmann_json=3.9
 - numactl-libs-cos7-x86_64
-- pkg-config=0.29
+- pkg-config>=0.29
 - pre-commit
 - pybind11-stubgen=0.10
 - pytest
 - pytest-asyncio
 - pytest-timeout
+- python-graphviz
 - scikit-build>=0.17
-- ucx=1.15
-name: ci_cuda-120_arch-x86_64
+- ucx>=1.15
+name: ci_cuda-121_arch-x86_64
diff --git a/dependencies.yaml b/dependencies.yaml
index b7475bc22..c29feca7e 100644
--- a/dependencies.yaml
+++ b/dependencies.yaml
@@ -3,7 +3,7 @@ files:
   all:
     output: conda
     matrix:
-      cuda: ["12.0"]
+      cuda: ["12.1"]
       arch: [x86_64]
     includes:
       - build
@@ -20,7 +20,7 @@ files:
   ci:
     output: conda
     matrix:
-      cuda: ["12.0"]
+      cuda: ["12.1"]
       arch: [x86_64]
     includes:
       - build
@@ -40,7 +40,7 @@ files:
 channels:
   - conda-forge
   - rapidsai
-  - nvidia/label/cuda-12.0.0
+  - nvidia/label/cuda-12.1.0
   - nvidia
   - rapidsai-nightly
 
@@ -50,24 +50,24 @@ dependencies:
     common:
       - output_types: [conda]
         packages:
-          - boost-cpp=1.82
+          - boost-cpp>=1.82
           - ccache
           - cmake=3.26.4
           - cuda-nvcc
           - cxx-compiler
-          - glog=0.6
-          - gtest=1.13
+          - glog>=0.6
+          - gtest>=1.13
           - gxx=11.2
           - libgrpc
-          - libhwloc=2.9.2
+          - libhwloc>=2.9.2
           - librmm=23.12
-          - ninja=1.10
+          - ninja>=1.10
           - nlohmann_json=3.9
           - numactl-libs-cos7-x86_64
-          - pkg-config=0.29
+          - pkg-config>=0.29
           - pybind11-stubgen=0.10
           - scikit-build>=0.17
-          - ucx=1.15
+          - ucx>=1.15
 
   checks:
     common:
@@ -109,14 +109,14 @@ dependencies:
     common:
       - output_types: [conda]
         packages:
-          - benchmark=1.6.0
+          - benchmark>=1.6.0
 
   ci:
     common:
       - output_types: [conda]
         packages:
-          - codecov=2.1
-          - gcovr=5.0
+          - codecov>=2.1
+          - gcovr>=5.0
           - pre-commit
 
   examples:
@@ -129,18 +129,18 @@ dependencies:
     common:
       - output_types: [conda]
         packages:
-          - doxygen=1.9.2
-          - graphviz=3.0
+          - doxygen>=1.9.2
+          - python-graphviz
 
   cudatoolkit:
     specific:
       - output_types: [conda]
         matrices:
           - matrix:
-              cuda: "12.0"
+              cuda: "12.1"
             packages:
-              - cuda-cudart-dev=12.0
-              - cuda-nvml-dev=12.0
-              - cuda-nvrtc-dev=12.0
-              - cuda-tools=12.0
-              - cuda-version=12.0
+              - cuda-cudart-dev=12.1
+              - cuda-nvml-dev=12.1
+              - cuda-nvrtc-dev=12.1
+              - cuda-tools=12.1
+              - cuda-version=12.1