diff --git a/web-ui/src/app/graph/page.tsx b/web-ui/src/app/graph/page.tsx
index c214e02..8e63499 100644
--- a/web-ui/src/app/graph/page.tsx
+++ b/web-ui/src/app/graph/page.tsx
@@ -1,3 +1,4 @@
+import { Suspense } from "react";
 import Link from "next/link";
 
 import { AppShell } from "@/components/app-shell";
@@ -22,7 +23,15 @@ export default function GraphPage() {
           </p>
         </header>
         <div className="h-[2px] bg-gradient-to-l from-transparent via-gold to-transparent" />
-        <GraphView />
+        <Suspense
+          fallback={
+            <div className="grid h-[560px] place-items-center text-sm text-ink-muted">
+              טוען גרף…
+            </div>
+          }
+        >
+          <GraphView />
+        </Suspense>
       </section>
     </AppShell>
   );
diff --git a/web-ui/src/app/precedents/[id]/page.tsx b/web-ui/src/app/precedents/[id]/page.tsx
index 55f1b51..a5110fb 100644
--- a/web-ui/src/app/precedents/[id]/page.tsx
+++ b/web-ui/src/app/precedents/[id]/page.tsx
@@ -2,7 +2,7 @@
 
 import { use, useState } from "react";
 import Link from "next/link";
-import { Pencil, Check, X } from "lucide-react";
+import { Pencil, Check, X, Share2 } from "lucide-react";
 import { toast } from "sonner";
 import { AppShell } from "@/components/app-shell";
 import { Card, CardContent } from "@/components/ui/card";
@@ -88,9 +88,16 @@ export default function PrecedentDetailPage({
                       {data.case_number}
                     </div>
                   </div>
-                  <Button variant="outline" size="sm" onClick={() => setEditing(true)}>
-                    <Pencil className="w-3.5 h-3.5 me-1" /> ערוך פרטים
-                  </Button>
+                  <div className="flex items-center gap-2">
+                    <Button asChild variant="outline" size="sm">
+                      <Link href={`/graph?focus=cl:${id}`}>
+                        <Share2 className="w-3.5 h-3.5 me-1" /> הצג בגרף
+                      </Link>
+                    </Button>
+                    <Button variant="outline" size="sm" onClick={() => setEditing(true)}>
+                      <Pencil className="w-3.5 h-3.5 me-1" /> ערוך פרטים
+                    </Button>
+                  </div>
                 </div>
 
                 {/* Citation per Israeli unified citation rules. The LLM
diff --git a/web-ui/src/components/graph/graph-node-panel.tsx b/web-ui/src/components/graph/graph-node-panel.tsx
index 9aa786b..4efe982 100644
--- a/web-ui/src/components/graph/graph-node-panel.tsx
+++ b/web-ui/src/components/graph/graph-node-panel.tsx
@@ -12,7 +12,9 @@ import { ExternalLink, X } from "lucide-react";
 import { Badge } from "@/components/ui/badge";
 import { Button } from "@/components/ui/button";
 import { Card, CardContent } from "@/components/ui/card";
+import { Skeleton } from "@/components/ui/skeleton";
 import type { GraphNode } from "@/lib/api/graph";
+import { usePrecedent } from "@/lib/api/precedent-library";
 
 const TYPE_LABELS: Record<string, string> = {
   precedent: "פסיקה",
@@ -54,6 +56,9 @@ export function GraphNodePanel({
   const isPrecedentLike = node.type === "precedent" || node.type === "halacha";
   const isGap = node.type === "gap";
   const isDigest = node.type === "digest";
+  // Rich detail (summary/headnote) for precedents — reuses the library hook.
+  const detailId = node.type === "precedent" ? node.case_law_id : null;
+  const detail = usePrecedent(detailId);
   return (
     <Card className="bg-surface border-rule shadow-sm w-80 shrink-0 overflow-y-auto">
       <CardContent className="space-y-4 p-4">
@@ -119,6 +124,25 @@ export function GraphNodePanel({
           )}
         </dl>
 
+        {detailId && (
+          <div className="space-y-1.5 border-t border-rule pt-3">
+            {detail.isPending ? (
+              <>
+                <Skeleton className="h-3 w-full" />
+                <Skeleton className="h-3 w-4/5" />
+              </>
+            ) : detail.error ? (
+              <p className="text-ink-muted text-xs m-0">לא ניתן לטעון תקציר.</p>
+            ) : detail.data?.headnote || detail.data?.summary ? (
+              <p className="text-ink text-sm leading-relaxed m-0">
+                {detail.data.headnote || detail.data.summary}
+              </p>
+            ) : (
+              <p className="text-ink-muted text-xs m-0">אין תקציר.</p>
+            )}
+          </div>
+        )}
+
         {isPrecedentLike && node.case_law_id && (
           <Button asChild variant="outline" className="w-full">
             <Link href={`/precedents/${node.case_law_id}`}>
diff --git a/web-ui/src/components/graph/graph-view.tsx b/web-ui/src/components/graph/graph-view.tsx
index f67c68d..0a728f0 100644
--- a/web-ui/src/components/graph/graph-view.tsx
+++ b/web-ui/src/components/graph/graph-view.tsx
@@ -12,7 +12,10 @@
  * PageRank doesn't change just because you zoomed into it.
  */
 
-import { useEffect, useMemo, useState } from "react";
+import { useCallback, useEffect, useMemo, useRef, useState } from "react";
+import { usePathname, useRouter, useSearchParams } from "next/navigation";
+import { ImageDown } from "lucide-react";
+import { toast } from "sonner";
 
 import { Button } from "@/components/ui/button";
 import { Card, CardContent } from "@/components/ui/card";
@@ -71,6 +74,29 @@ export function GraphView() {
   const facets = useGraphFacets().data;
   const [selectedNode, setSelectedNode] = useState<GraphNode | null>(null);
   const [focusNodeId, setFocusNodeId] = useState<string | null>(null);
+  const [depth, setDepth] = useState(1);
+  const canvasAreaRef = useRef<HTMLDivElement>(null);
+
+  // ── URL deep-link (?focus=) — read once on mount, write on focus change ──
+  const router = useRouter();
+  const pathname = usePathname();
+  const searchParams = useSearchParams();
+  const didInit = useRef(false);
+  useEffect(() => {
+    if (didInit.current) return;
+    didInit.current = true;
+    const f = searchParams.get("focus");
+    if (f) setFocusNodeId(f);
+  }, [searchParams]);
+  useEffect(() => {
+    if (!didInit.current) return;
+    const params = new URLSearchParams(searchParams.toString());
+    if (focusNodeId) params.set("focus", focusNodeId);
+    else params.delete("focus");
+    const qs = params.toString();
+    router.replace(qs ? `${pathname}?${qs}` : pathname, { scroll: false });
+    // eslint-disable-next-line react-hooks/exhaustive-deps
+  }, [focusNodeId]);
 
   const onChange = (patch: Partial<GraphControls>) =>
     setControls((c) => ({ ...c, ...patch }));
@@ -132,7 +158,7 @@ export function GraphView() {
   const isFocused = !!focusNodeId;
   // Keep the full query alive when metrics are on so the overlay map stays warm.
   const full = useCorpusGraph(filters, !isFocused || metricsOn);
-  const neighborhood = useNodeNeighborhood(focusNodeId, 1, nodeTypes);
+  const neighborhood = useNodeNeighborhood(focusNodeId, depth, nodeTypes);
 
   const active = isFocused ? neighborhood : full;
   const error = active.error as Error | undefined;
@@ -178,6 +204,23 @@ export function GraphView() {
     setSelectedNode(null);
   };
 
+  const exportPng = useCallback(() => {
+    const canvas = canvasAreaRef.current?.querySelector("canvas");
+    if (!canvas) {
+      toast.error("הגרף עדיין נטען");
+      return;
+    }
+    try {
+      const url = canvas.toDataURL("image/png");
+      const a = document.createElement("a");
+      a.href = url;
+      a.download = "corpus-graph.png";
+      a.click();
+    } catch {
+      toast.error("ייצוא ה-PNG נכשל");
+    }
+  }, []);
+
   const showRanking = metricsOn && !selectedNode && (full.data?.nodes.length ?? 0) > 0;
 
   return (
@@ -186,18 +229,32 @@ export function GraphView() {
         <span>
           {data ? `${data.nodes.length} נקודות · ${data.edges.length} קשרים` : "—"}
         </span>
-        {!isFocused && full.data?.truncated && (
-          <span className="text-gold-deep">
-            מוצגות {full.data.nodes.length} הנקודות המצוטטות ביותר מתוך{" "}
-            {full.data.total_available} — צמצמו את הסינון כדי לראות פחות
-          </span>
-        )}
+        <div className="flex items-center gap-3">
+          {!isFocused && full.data?.truncated && (
+            <span className="text-gold-deep">
+              מוצגות {full.data.nodes.length} מתוך {full.data.total_available} —
+              צמצמו את הסינון
+            </span>
+          )}
+          <Button
+            variant="ghost"
+            size="sm"
+            onClick={exportPng}
+            className="h-7 gap-1.5 text-xs"
+          >
+            <ImageDown className="size-3.5" />
+            ייצוא PNG
+          </Button>
+        </div>
       </div>
 
       <div className="flex gap-4 h-[calc(100vh-320px)] min-h-[560px]">
         <GraphFilterPanel controls={controls} onChange={onChange} facets={facets} />
 
-        <div className="relative flex-1 rounded-lg border border-rule bg-surface overflow-hidden">
+        <div
+          ref={canvasAreaRef}
+          className="relative flex-1 rounded-lg border border-rule bg-surface overflow-hidden"
+        >
           {error ? (
             <div className="grid h-full place-items-center p-6 text-center">
               <div className="space-y-2">
@@ -227,14 +284,30 @@ export function GraphView() {
           )}
 
           {isFocused && (
-            <Button
-              variant="outline"
-              size="sm"
-              onClick={backToFull}
-              className="absolute top-3 start-3 bg-surface/90 backdrop-blur"
-            >
-              ← חזרה לגרף המלא
-            </Button>
+            <div className="absolute top-3 start-3 flex items-center gap-2">
+              <Button
+                variant="outline"
+                size="sm"
+                onClick={backToFull}
+                className="bg-surface/90 backdrop-blur"
+              >
+                ← חזרה לגרף המלא
+              </Button>
+              <div className="flex items-center gap-1.5 rounded-md bg-surface/90 backdrop-blur px-2 py-1 text-xs text-ink-muted">
+                <span>עומק</span>
+                <input
+                  type="range"
+                  min={1}
+                  max={3}
+                  step={1}
+                  value={depth}
+                  onChange={(e) => setDepth(Number(e.target.value))}
+                  className="w-16 accent-gold"
+                  aria-label="עומק שכנים"
+                />
+                <span className="tabular-nums">{depth}</span>
+              </div>
+            </div>
           )}
 
           <Legend colorBy={controls.colorBy} />
@@ -352,6 +425,12 @@ const LEGENDS: Record<ColorBy, { color: string; label: string }[]> = {
   ],
 };
 
+const EDGE_LEGEND: { color: string; label: string }[] = [
+  { color: "rgba(80,90,110,0.7)", label: "ציטוט" },
+  { color: "rgba(169,125,58,0.5)", label: "נושא/תחום" },
+  { color: "rgba(47,111,122,0.7)", label: "יומון מסכם" },
+];
+
 function Legend({ colorBy }: { colorBy: ColorBy }) {
   const items = LEGENDS[colorBy] ?? LEGENDS.type;
   return (
@@ -365,6 +444,16 @@ function Legend({ colorBy }: { colorBy: ColorBy }) {
           {i.label}
         </div>
       ))}
+      <div className="my-0.5 h-px bg-rule" />
+      {EDGE_LEGEND.map((e) => (
+        <div key={e.label} className="flex items-center gap-2">
+          <span
+            className="inline-block w-3.5 h-px"
+            style={{ backgroundColor: e.color, height: 2 }}
+          />
+          {e.label}
+        </div>
+      ))}
     </div>
   );
 }
diff --git a/web/graph_api.py b/web/graph_api.py
index 5f89b1b..2378942 100644
--- a/web/graph_api.py
+++ b/web/graph_api.py
@@ -527,7 +527,7 @@ async def build_node_neighborhood(
       - ``pa:<token>`` — a practice-area hub; same as topic.
     """
     types = normalize_node_types(node_types)
-    depth = max(1, min(int(depth), 2))
+    depth = max(1, min(int(depth), 3))  # BFS is still bounded by NODE_CAP_MAX
     prefix, _, rest = node_id.partition(":")
     rest = rest.strip()
     if prefix not in {"cl", "tag", "pa"} or not rest: