diff --git a/makefiles/common.mk b/makefiles/common.mk
index 37e81be20..2e448268a 100644
--- a/makefiles/common.mk
+++ b/makefiles/common.mk
@@ -42,9 +42,10 @@ else
 endif
 #$(info NVCC_GENCODE is ${NVCC_GENCODE})
 
-CXXFLAGS   := -DCUDA_MAJOR=$(CUDA_MAJOR) -DCUDA_MINOR=$(CUDA_MINOR) -fPIC -fvisibility=hidden
-CXXFLAGS   += -Wall -Wno-unused-function -Wno-sign-compare -std=c++11 -Wvla
-CXXFLAGS   += -I $(CUDA_INC)
+CXXFLAGS   := -DCUDA_MAJOR=$(CUDA_MAJOR) -DCUDA_MINOR=$(CUDA_MINOR) -fPIC -fvisibility=hidden \
+              -Wall -Wno-unused-function -Wno-sign-compare -std=c++11 -Wvla \
+              -I $(CUDA_INC) \
+              $(CXXFLAGS)
 # Maxrregcount needs to be set accordingly to NCCL_MAX_NTHREADS (otherwise it will cause kernel launch errors)
 # 512 : 120, 640 : 96, 768 : 80, 1024 : 60
 # We would not have to set this if we used __launch_bounds__, but this only works on kernels, not on functions.
diff --git a/src/graph/paths.cc b/src/graph/paths.cc
index ce1772c39..eba1964f4 100644
--- a/src/graph/paths.cc
+++ b/src/graph/paths.cc
@@ -179,11 +179,18 @@ static ncclResult_t addCpuStep(struct ncclTopoSystem* system, int c, int t1, int
 // Remove/free paths for a given type
 static void ncclTopoRemovePathType(struct ncclTopoSystem* system, int nodeType) {
   for (int t=0; t<NCCL_TOPO_NODE_TYPES; t++) {
+    // Remove links _to_ the given type
     for (int n=0; n<system->nodes[t].count; n++) {
       struct ncclTopoNode* node = system->nodes[t].nodes+n;
       free(node->paths[nodeType]);
       node->paths[nodeType] = NULL;
     }
+    // Remove links _from_ the given type
+    for (int n=0; n<system->nodes[nodeType].count; n++) {
+      struct ncclTopoNode* node = system->nodes[nodeType].nodes+n;
+      free(node->paths[t]);
+      node->paths[t] = NULL;
+    }
   }
 }
 
@@ -309,6 +316,22 @@ ncclResult_t ncclTopoTrimSystem(struct ncclTopoSystem* system, struct ncclComm*
     // Trim network
     ncclTopoRemovePathType(system, NET);
     system->nodes[NET].count = 0;
+    for (int t=0; t<NCCL_TOPO_NODE_TYPES; t++) {
+      for (int n=0; n<system->nodes[t].count; n++) {
+        struct ncclTopoNode* node = system->nodes[t].nodes+n;
+        for (int l=0; l<node->nlinks; l++) {
+          struct ncclTopoLink* link = &(node->links[l]);
+          if (link->remNode->type == NET) {
+            // Remove the link
+            for (int i=l; i<(node->nlinks-1); i++) {
+              memcpy(&(node->links[i]), &(node->links[i+1]), sizeof(ncclTopoLink));
+            }
+            node->nlinks--;
+            l--;  // revisit the same value of "l" for the next iteration, since we edited the list in the middle of the loop
+          }
+        }
+      }
+    }
   }
   free(domains);
   free(ids);