diff --git a/package-lock.json b/package-lock.json
index be1fdd3a..c3d35098 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -11,7 +11,7 @@
         "crypto-js": "^4.2.0",
         "liquidjs": "^10.30.0",
         "markdown-it-footnote": "^4.0.0",
-        "mermaid": "^12.1.0",
+        "mermaid": "^12.2.0",
         "sharp": "^0.35.5",
         "vitepress": "^1.6.4",
         "vue": "^3.5.25"
@@ -3548,9 +3548,9 @@
       }
     },
     "node_modules/katex": {
-      "version": "0.16.47",
-      "resolved": "https://registry.npmjs.org/katex/-/katex-0.16.47.tgz",
-      "integrity": "sha512-Eeo8Ys1doU1z+x8AZsPpQu+p/QcZBI5PeOo7QGQdy2x2m0MU/hYagBbGOmXwr5KVbEfVuWv9LpnQWeehogurjg==",
+      "version": "0.18.10",
+      "resolved": "https://registry.npmjs.org/katex/-/katex-0.18.10.tgz",
+      "integrity": "sha512-/B6p9eY9DX7aHBfpkHdpirDTZ5QH9xTwL9y837PWuzuv41O5jFdqNQwVQEQsimY0/iVNkwBY4+4hMfhQ7d4Dbw==",
       "dev": true,
       "funding": [
         "https://opencollective.com/katex",
@@ -3558,20 +3558,20 @@
       ],
       "license": "MIT",
       "dependencies": {
-        "commander": "^8.3.0"
+        "commander": "^15.0.0"
       },
       "bin": {
         "katex": "cli.js"
       }
     },
     "node_modules/katex/node_modules/commander": {
-      "version": "8.3.0",
-      "resolved": "https://registry.npmjs.org/commander/-/commander-8.3.0.tgz",
-      "integrity": "sha512-OkTL9umf+He2DZkUq8f8J9of7yL6RJKI24dVITBmNfZBmri9zYZQrKkuXiKhyfPSu8tUhnVBB1iKXevvnlR4Ww==",
+      "version": "15.0.0",
+      "resolved": "https://registry.npmjs.org/commander/-/commander-15.0.0.tgz",
+      "integrity": "sha512-z67u4ZhzCL/Tydu1lJARtEZYWbWaN7oYLHbsuzocr6y4N6WZAagG3RQ4FW61V1/0+jImpj293XfrcYnd1qxtPg==",
       "dev": true,
       "license": "MIT",
       "engines": {
-        "node": ">= 12"
+        "node": ">=22.12.0"
       }
     },
     "node_modules/khroma": {
@@ -3675,9 +3675,9 @@
       }
     },
     "node_modules/mermaid": {
-      "version": "12.1.0",
-      "resolved": "https://registry.npmjs.org/mermaid/-/mermaid-12.1.0.tgz",
-      "integrity": "sha512-wlVCp+8eTupfCeeFvoZNNiTuHrvag0P2jz/ILgb/f/6jkVokUefOcujefi8qUe/j2asHiSePncVsz/xzzA80LQ==",
+      "version": "12.2.0",
+      "resolved": "https://registry.npmjs.org/mermaid/-/mermaid-12.2.0.tgz",
+      "integrity": "sha512-w7nr/SFrLO7BaVTs3dQTvYSV6nYSBj0Yy9DjBhsIJtAcHqRzXSq4Pg32ujHZ/AdWsAMNEvvhbm5dt9E2tOiHzw==",
       "dev": true,
       "license": "MIT",
       "dependencies": {
@@ -3697,7 +3697,7 @@
         "dompurify": "^3.4.12",
         "elkjs": "^0.9.3",
         "es-toolkit": "^1.45.1",
-        "katex": "^0.16.47",
+        "katex": "^0.18.0",
         "khroma": "^2.1.0",
         "marked": "^16.3.0",
         "roughjs": "^4.6.6",
diff --git a/package.json b/package.json
index bac22ae6..277ce3ac 100644
--- a/package.json
+++ b/package.json
@@ -14,7 +14,7 @@
     "crypto-js": "^4.2.0",
     "liquidjs": "^10.30.0",
     "markdown-it-footnote": "^4.0.0",
-    "mermaid": "^12.1.0",
+    "mermaid": "^12.2.0",
     "sharp": "^0.35.5",
     "vitepress": "^1.6.4",
     "vue": "^3.5.25"